{"id":4758,"date":"2016-05-18T09:49:00","date_gmt":"2016-05-18T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-8-maths-exercise-13-2\/"},"modified":"2018-06-27T12:09:12","modified_gmt":"2018-06-27T06:39:12","slug":"ncert-solutions-for-class-8-maths-exercise-13-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Exercise 13.2"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#NCERT_Solutions_for_Class_8_Maths_Direct_and_Inverse_Proportions\" >NCERT Solutions for Class 8 Maths\u00a0Direct and Inverse Proportions<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#Class_%E2%80%93VIII_MathematicsEx_132\" >Class \u2013VIII Mathematics(Ex. 13.2)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#NCERT_SOLUTION\" >NCERT SOLUTION<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#1_Which_of_the_following_are_in_inverse_proportion\" >1. Which of the following are in inverse proportion:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#2_In_a_Television_game_show_the_prize_money_of_Rs100000_is_to_be_divided_equally_amongst_the_winners_Complete_the_following_table_and_find_whether_the_prize_money_given_to_an_individual_winner_is_directly_or_inversely_proportional_to_the_number_of_winners\" >2. In a Television game show, the prize money of Rs.1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#3_Rehman_is_making_a_wheel_using_spokes_He_wants_to_fix_equal_spokes_in_such_a_way_that_the_angles_between_any_pair_of_consecutive_spokes_are_equal_Help_him_by_completing_the_following_table\" >3. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#4_If_a_box_of_sweets_is_divided_among_24_children_they_will_get_5_sweets_each_How_many_would_each_get_if_the_number_of_the_children_is_reduced_by_4\" >4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#5_A_farmer_has_enough_food_to_feed_20_animals_in_his_cattle_for_6_days_How_long_would_the_food_last_if_there_were_10_more_animals_in_his_cattle\" >5. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#6_A_contractor_estimates_that_3_persons_could_rewire_Jasminders_house_in_4_days_If_he_uses_4_persons_instead_of_three_how_long_should_they_take_to_complete_the_job\" >6. A contractor estimates that 3 persons could rewire Jasminder\u2019s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#7_A_batch_of_bottles_was_packed_in_25_boxes_with_12_bottles_in_each_box_If_the_same_batch_is_packed_using_20_bottles_in_each_box_how_many_boxes_would_be_filled\" >7. A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#8_A_factory_requires_42_machines_to_produce_a_given_number_of_articles_in_63_days_How_many_machines_would_be_required_to_produce_the_same_number_of_articles_in_54_days\" >8. A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#9_A_car_takes_2_hours_to_reach_a_destination_by_travelling_at_the_speed_of_60_kmhr_How_long_will_it_take_when_the_car_travels_at_the_speed_of_80_kmhr\" >9. A car takes 2 hours to reach a destination by travelling at the spe^ed of 60 km\/hr. How long will it take when the car travels at the speed of 80 km\/hr?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#10_Two_persons_could_fit_new_windows_in_a_house_in_3_days\" >10. Two persons could fit new windows in a house in 3 days.<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#11_A_school_has_8_periods_a_day_each_of_45_minutes_duration_How_long_would_each_period_be_if_the_school_has_9_periods_a_day_assuming_the_number_of_school_hours_to_be_the_same\" >11. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#NCERT_Solutions_for_Class_8_Maths_Exercise_132\" >NCERT Solutions for Class 8 Maths Exercise 13.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/#CBSE_app_for_Class_8\" >CBSE app for Class 8<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions for Class 8 Maths Exercise 13.2 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 Maths chapter wise NCERT solution for Maths Book all the chapters can be downloaded from our website and myCBSEguide mobile app for free<\/p>\n<p style=\"text-align: center;\"><strong>NCERT solutions for Class 8 Maths\u00a0Direct and Inverse Proportions\u00a0<a class=\"button\" href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-08-mathematics-direct-and-inverse-proportions\/1462\/ncert-solutions\/5\/\">Download as PDF<\/a><\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/08_Maths_Book.jpg\" alt=\"NCERT Solutions for Class 8 Maths Exercise 13.2\" width=\"158\" height=\"199\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Direct_and_Inverse_Proportions\"><\/span>NCERT Solutions for Class 8 Maths\u00a0Direct and Inverse Proportions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"Class_%E2%80%93VIII_MathematicsEx_132\"><\/span><strong>Class \u2013VIII Mathematics(Ex. 13.2)<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6 style=\"text-align: center;\"><span class=\"ez-toc-section\" id=\"NCERT_SOLUTION\"><\/span><strong>NCERT SOLUTION<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<h6><span class=\"ez-toc-section\" id=\"1_Which_of_the_following_are_in_inverse_proportion\"><\/span><strong>1. Which of the following are in inverse proportion:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) The number of workers on a job and the time to complete the job.<\/strong><\/p>\n<p><strong>(ii) The time taken for a journey and the distance travelled in a uniform speed.<\/strong><\/p>\n<p><strong>\u00a0(iii) Area of cultivated land and the crop harvested.<\/strong><\/p>\n<p><strong>(iv) The time taken for a fixed journey and the speed of the vehicle. <\/strong><\/p>\n<p><strong><img decoding=\"async\" id=\"Picture 55\" style=\"height: 134px; width: 113px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image001.jpg\" \/><\/strong><\/p>\n<p><strong>(v) The population of a country and the area of land per person. <\/strong><\/p>\n<p><strong>Ans.<\/strong> <strong>(i)<\/strong> The number of workers and the time to complete the job is in inverse proportion<\/p>\n<p>because less workers will take more time to complete a work and more workers will take less time to complete the same work.<\/p>\n<p><strong>(ii)<\/strong> Time and distance covered in direct proportion.<\/p>\n<p><strong>(iii)<\/strong> It is a direct proportion because more are of cultivated land will yield more crops.<\/p>\n<p><strong>(iv)<\/strong> Time and speed are inverse proportion because if time is less, speed is more.<\/p>\n<p><strong>(v)<\/strong> It is a inverse proportion. If the population of a country increases, the area of land per person decreases.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"2_In_a_Television_game_show_the_prize_money_of_Rs100000_is_to_be_divided_equally_amongst_the_winners_Complete_the_following_table_and_find_whether_the_prize_money_given_to_an_individual_winner_is_directly_or_inversely_proportional_to_the_number_of_winners\"><\/span><strong>2. In a Television game show, the prize money of Rs.1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" id=\"Picture 4\" style=\"height: 115px; width: 573px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image002.jpg\" \/><\/p>\n<p><strong>Ans.<\/strong> Here number of winners and prize money are in inverse proportion because winners are increasing, prize money is decreasing.<\/p>\n<p>When the number of winners are 4, each winner will get =<img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image003.png\" \/>\u00a0= Rs. 25,000<\/p>\n<p>When the number of winners are 5, each winner will get =<img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image004.png\" \/>\u00a0= Rs. 20,000<\/p>\n<p>When the number of winners are 8, each winner will get =<img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image005.png\" \/>\u00a0= Rs. 12,500<\/p>\n<p>When the number of winners are 10, each winner will get = <img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image006.png\" \/>\u00a0= Rs. 10,000<\/p>\n<p>When the number of winners are 20, each winner will get = <img decoding=\"async\" style=\"height: 41px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image007.png\" \/>\u00a0= Rs.\u00a0 5,000<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"3_Rehman_is_making_a_wheel_using_spokes_He_wants_to_fix_equal_spokes_in_such_a_way_that_the_angles_between_any_pair_of_consecutive_spokes_are_equal_Help_him_by_completing_the_following_table\"><\/span><strong>3. Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 104px; width: 270px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image008.png\" \/><\/p>\n<p><strong>(i) Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?<\/strong><\/p>\n<p><strong>(ii) Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.<\/strong><\/p>\n<p><strong>(iii) How many spokes would be needed, if the angle between a pair of consecutive spokes is <\/strong><strong><img decoding=\"async\" style=\"height: 21px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image009.png\" \/><\/strong><\/p>\n<p><img decoding=\"async\" id=\"Picture 5\" style=\"height: 148px; width: 620px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image010.jpg\" \/><\/p>\n<p><strong>Ans. <\/strong><\/p>\n<p>Here the number of spokes are increasing and the angle between a pair of consecutive spokes is decreasing. So, it is a inverse proportion and angle at the centre of a circle is <img decoding=\"async\" style=\"height: 21px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image011.png\" \/><\/p>\n<p>When the number of spokes is 8, then angle between a pair of consecutive spokes = <img decoding=\"async\" style=\"height: 44px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image012.png\" \/><\/p>\n<p>When the number of spokes is 10, then angle between a pair of consecutive spokes= <img decoding=\"async\" style=\"height: 44px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image013.png\" \/><\/p>\n<p>When the number of spokes is 12, then angle between a pair of consecutive spokes= <img decoding=\"async\" style=\"height: 44px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image014.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 6\" style=\"height: 125px; width: 518px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image015.jpg\" \/><\/p>\n<p><strong>(i)<\/strong> Yes, the number of spokes and the angles formed between a pair of consecutive spokes is in inverse proportion.<\/p>\n<p><strong>(ii)<\/strong> When the number of spokes is 15, then angle between a pair of consecutive spokes= <img decoding=\"async\" style=\"height: 44px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image016.png\" \/>.<\/p>\n<p><strong>(iii)<\/strong> The number of spokes would be needed = <img decoding=\"async\" style=\"height: 44px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image017.png\" \/><\/p>\n<hr \/>\n<h6><span class=\"ez-toc-section\" id=\"4_If_a_box_of_sweets_is_divided_among_24_children_they_will_get_5_sweets_each_How_many_would_each_get_if_the_number_of_the_children_is_reduced_by_4\"><\/span><strong>4. If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans. <\/strong><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image018.png\" \/>\u00a0Each child gets = 5 sweets<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>24 children will get 24 <img decoding=\"async\" style=\"height: 13px; width: 12px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image020.png\" \/>\u00a05 = 120 sweets<\/p>\n<p>Total number of sweets = 120<\/p>\n<p>If the number of children is reduced by 4, then children left = 24 \u2013 4 = 20<\/p>\n<p>Now each child will get sweets = <img decoding=\"async\" style=\"height: 41px; width: 29px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image021.png\" \/><\/p>\n<p>= 6 sweets<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"5_A_farmer_has_enough_food_to_feed_20_animals_in_his_cattle_for_6_days_How_long_would_the_food_last_if_there_were_10_more_animals_in_his_cattle\"><\/span><strong>5. A farmer has enough food to feed 20 animals in his cattle for 6 days. How long would the food last if there were 10 more animals in his cattle?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let the number of days be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p>Total number of animals = 20 + 10 = 30<\/p>\n<p><img decoding=\"async\" id=\"Picture 7\" style=\"height: 54px; width: 269px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image023.png\" \/><\/p>\n<p>Here the number of animals and the number of days are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image024.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image026.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image027.png\" \/>\u00a0= 4<\/p>\n<p>Hence the food will last for four days.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"6_A_contractor_estimates_that_3_persons_could_rewire_Jasminders_house_in_4_days_If_he_uses_4_persons_instead_of_three_how_long_should_they_take_to_complete_the_job\"><\/span><strong>6. A contractor estimates that 3 persons could rewire Jasminder\u2019s house in 4 days. If, he uses 4 persons instead of three, how long should they take to complete the job?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let time taken to complete the job be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 8\" style=\"height: 55px; width: 272px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image028.png\" \/><\/p>\n<p>Here the number of persons and the number of days are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image029.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 19px; width: 77px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image030.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image031.png\" \/>\u00a0= 3 days<\/p>\n<p>Hence they will complete the job in 3 days.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"7_A_batch_of_bottles_was_packed_in_25_boxes_with_12_bottles_in_each_box_If_the_same_batch_is_packed_using_20_bottles_in_each_box_how_many_boxes_would_be_filled\"><\/span><strong>7. A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><img decoding=\"async\" style=\"height: 126px; width: 234px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image032.png\" \/><\/p>\n<p><strong>Ans.<\/strong> Let the number of boxes be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 10\" style=\"height: 65px; width: 288px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image033.jpg\" \/><\/p>\n<p>Here the number of bottles and the number of boxes are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image034.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image035.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image036.png\" \/>\u00a0= 15<\/p>\n<p>Hence 15 boxes would be filled.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"8_A_factory_requires_42_machines_to_produce_a_given_number_of_articles_in_63_days_How_many_machines_would_be_required_to_produce_the_same_number_of_articles_in_54_days\"><\/span><strong>8. A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let the number of machines required be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 11\" style=\"height: 54px; width: 281px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image037.png\" \/><\/p>\n<p>Here the number of machines and the number of days are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 57px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image038.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 101px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image039.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 76px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image040.png\" \/>\u00a0= 49<\/p>\n<p>Hence 49machineswould be required.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"9_A_car_takes_2_hours_to_reach_a_destination_by_travelling_at_the_speed_of_60_kmhr_How_long_will_it_take_when_the_car_travels_at_the_speed_of_80_kmhr\"><\/span><strong>9. A car takes 2 hours to reach a destination by travelling at the spe^ed of 60 km\/hr. How long will it take when the car travels at the speed of 80 km\/hr?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let the number of hours be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 12\" style=\"height: 62px; width: 256px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image041.png\" \/><\/p>\n<p>Here the speed of car and time are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image042.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 19px; width: 93px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image043.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/><img decoding=\"async\" style=\"height: 41px; width: 68px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image044.png\" \/><\/p>\n<p>= <img decoding=\"async\" style=\"height: 41px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image045.png\" \/>\u00a0hrs.<\/p>\n<p>Hence the car will take <img decoding=\"async\" style=\"height: 41px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image046.png\" \/>\u00a0hours<\/p>\n<p>to reach its destination.<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"10_Two_persons_could_fit_new_windows_in_a_house_in_3_days\"><\/span><strong>10. Two persons could fit new windows in a house in 3 days.<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>(i) One of the persons fell ill before the work started. How long would the job take now?<\/strong><\/p>\n<p><strong>(ii) How many persons would be needed to fit the windows in one day?<\/strong><\/p>\n<p><strong>Ans. <\/strong><strong>(i)<\/strong> Let the number of days be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 13\" style=\"height: 66px; width: 257px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image047.png\" \/><\/p>\n<p>Here the number of persons and the number of days are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 43px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image048.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image049.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image050.png\" \/>\u00a0= 6 days<\/p>\n<p><strong>(ii)<\/strong> \u00a0Let the number of persons be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 14\" style=\"height: 60px; width: 261px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image051.png\" \/><\/p>\n<p>Here the number of persons and the number of days are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 41px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image052.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 75px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image049.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 59px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image050.png\" \/><\/p>\n<p>= 6 persons<\/p>\n<hr \/>\n<p style=\"text-align: center;\">NCERT Solutions for Class 8 Maths Exercise 13.2<\/p>\n<h6><span class=\"ez-toc-section\" id=\"11_A_school_has_8_periods_a_day_each_of_45_minutes_duration_How_long_would_each_period_be_if_the_school_has_9_periods_a_day_assuming_the_number_of_school_hours_to_be_the_same\"><\/span><strong>11. A school has 8 periods a day each of 45 minutes duration. How long would each period be, if the school has 9 periods a day, assuming the number of school hours to be the same?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p><strong>Ans.<\/strong> Let the duration of each period be <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image022.png\" \/><\/p>\n<p><img decoding=\"async\" id=\"Picture 15\" style=\"height: 68px; width: 288px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image053.jpg\" \/><\/p>\n<p>Here the number of periods and the duration of periods are in inverse proportion.<\/p>\n<p><img decoding=\"async\" style=\"height: 13px; width: 15px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image019.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 49px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image054.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 19px; width: 84px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image055.png\" \/><\/p>\n<p><img decoding=\"async\" style=\"height: 16px; width: 20px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image025.png\" \/>\u00a0<img decoding=\"async\" style=\"height: 41px; width: 67px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/08\/maths\/13_2\/image056.png\" \/>= 40 minutes<\/p>\n<p>Hence duration of each period would be 40 minutes.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_8_Maths_Exercise_132\"><\/span>NCERT Solutions for Class 8 Maths Exercise 13.2<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 8\u00a0Mathematics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 8\u00a0Mathematics includes text book solutions from Class 8 Maths Book . NCERT Solutions for CBSE Class 8 Maths have total 16 chapters. 8 Maths NCERT Solutions in PDF for free Download on our website. Ncert class 8 solutions PDF and Maths ncert class 8 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_8\"><\/span>CBSE app for Class 8<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 8 Social Science, Computer Science, Home Science,Hindi ,English, Maths Science do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 8 Maths Exercise 13.2 Class 8 Maths book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 8 &#8230; <a title=\"NCERT Solutions for Class 8 Maths Exercise 13.2\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-8-maths-exercise-13-2\/\" aria-label=\"More on NCERT Solutions for Class 8 Maths Exercise 13.2\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1382,281],"tags":[283,1523,321,1485,216],"class_list":["post-4758","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematics-cbse-class-08","category-ncert-solutions","tag-cbse-study-material","tag-class-8","tag-mathematics","tag-maths","tag-ncert-solutions"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions for Class 8 Maths Exercise 13.2 | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions for Class 8 Maths Exercise 13.2 in PDF format for free download. 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