CBSE > Class 08 > Mathematics | CBSE Board | Homework Help

Let us say you go to a shopping mall to buy a sweatshirt. You finalize the sweatshirt and are shocked to see its price tag. The price mentioned on the sweatshirt is Rs. 2500. You ask the owner to give some discount. He offers a discount of 20%. Now just figure out, how much you will pay to the shopkeeper. Did you say 2000 rupees? You are bang on! You will pay a sum after subtracting 20% of amount written on price tag i.e. Rs. 500 from Rs. 2500. You finally pay the shopkeeper 2500 – 500 = Rs. 2000. This example introduces you to the concept of marked price and discount. What you indirectly learned from this case is that the discount is calculated on the marked price only. Now let us assume here that the shopkeeper has purchased that sweatshirt for Rs. 1600. How much money that shopkeeper has earned by selling this sweatshirt? Now the shopkeeper has invested Rs. 1600 to buy this sweatshirt and finally sells for Rs. 2000. He makes a profit of Rs. 2000 – 1600 = Rs. 400. He earns this profit by putting in Rs. 1600 from his pocket that implies he makes a profit of 400 on his cost price of Rs. 1600. Thus his percentage profit is 100 × 400/1600 = 25%. This makes another concept of cost price and profit clear to you i.e. the price you put in from your pocket to buy a product is called cost price and the extra amount you get after selling the product is called the profit. The profit and loss percentage is calculated on cost price. Profit and loss problems are an integral part of all the competitive exams. You must understand the meaning of the basic terms used in profit and loss questions. Cost Price (CP): The price, which is paid to acquire a product, is called cost price. All the overhead expenses (transportation, taxes etc.) are also included in the cost price. Selling Price (SP): The sum of money, which is finally received for the product i.e. the price at which the product is finally disposed off is called the Selling price. Marked Price (MP): The price, which is listed or marked on the product, is also known as quotation price/printed price/catalogue price/invoice price. Profit: If selling price is greater than Cost price, then excess of SP to CP is called Gain or Profit. PROFIT = SELLING PRICE – COST PRICE E.g. Let the cost price of a quintal of rice be Rs 1000 and the shopkeeper sells the same for Rs 1125 per quintal, then profit = 1125 – 1000 = Rs. 125 per quintal. Loss: If selling price is less than Cost price, then excess of CP to SP is called Loss. LOSS = COST PRICE – SELLING PRICE E.g. Let the cost price of a score of mangoes be Rs. 220. If the fruit vendor retails each mango for Rs. 10, then cost price per mango = Rs. 220/20 = Rs. 11/mango (As you know one score has 20 items) Selling price = Rs. 10 / mango ∴ Loss = Rs. 11 – Rs. 10 = Re. 1 per mango Note: Profit and loss percentage is always calculated on cost price, unless otherwise specified. Now let us come to profit loss formula in percentage, which will be followed by questions on profit and loss. Profit percentage formula: The profit percent can be calculated as: Profit % = 100 × Profit/Cost Price. Percentage Loss: The loss percent can be calculated as; Loss % = 100 × Loss/Cost Price. Now let us solve some illustration to get idea about profit and loss aptitude questions. These illustrations will have the application of the profit and loss formula learned above.

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By which smallest natural number 9408 should be divided so that the quotient is a perfect square

Posted by Prince Prajapati 6 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 7 months ago

To find the smallest number by which 9408 must be divided so that the quotient is a perfect square, we have to find the prime factors of 9408.

9408 = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7

Prime factors of 9408 are 2, 2, 2, 2, 2, 2. 3, 7, 7
Out of the prime factors of 9408, only 3 is without pair.
So, 3 is the number by which 9408 must be divided to make the quotient a perfect square.

9408/3 = 3136

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X-2=14

Posted by Kishor Kumar 6 years, 7 months ago

CBSE > Class 08 > Mathematics

3 answers

Suraj Gaming 6 years, 7 months ago

X-2=14 X=14+2 X=16

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Bellamkonda Surya Kiran 6 years, 7 months ago

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Yogita Ingle 6 years, 7 months ago

X - 2 = 14
x = 14 + 2
x = 16

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What is constraction..

Posted by Krishana Ram 6 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Suraj Gaming 6 years, 7 months ago

Definition of construction. 1 : the act or result of construing, interpreting, or explaining. 2a : the process, art, or manner of constructing something Construction of the new bridge will begin in the spring. also : a thing constructed. b : the construction industry working in construction.

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What is a trapezeam

Posted by Yuvraj Dhall 6 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Yogita Ingle 6 years, 7 months ago

A trapezium or a trapezoid is a quadrilateral with a pair of parallel sides. A parallelogram may also be called a trapezoid as it has two parallel sides. The pair of parallel sides is called the base while the non-parallel sides are called the legs of the trapezoid. The line segment that connects the midpoints of the legs of a trapezoid is called the mid-segment.

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What is regular polygon and examples

Posted by Mrs.Surekha Kshema 6 years, 7 months ago

CBSE > Class 08 > Mathematics

2 answers

Suraj Gaming 6 years, 7 months ago

Polygon. A polygon is a plane shape (two-dimensional) with straight sides. for example=triangles, quadrilaterals, pentagons, hexagons and so on.

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Yogita Ingle 6 years, 7 months ago

A polygon which has all its sides of equal length and all its angles of equal measures is called a regular polygon.
Example:

An equilateral triangle is a regular polygon.
A square is a regular polygon.
A regular pentagon is a regular polygon.

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What is the area of cone???

Posted by Himanshu Sharma 6 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Suraj Gaming 6 years, 7 months ago

The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. The next step is to find the area of the circle, or base. The area of a circle is 3.14 times the radius squared (πr2). Now, you will need to find the area of the cone itself. In order to do this, you must measure the side (slant height) of the cone. Make sure you use the same form of measurement as the radius. You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl). So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by: SA = πr2 + πrl Where, r is the radius h is the height l is the slant height The area of the curved (lateral) surface of a cone = πrl Note: A cone does not have uniform (or congruent) cross-sections. (more about conic section here) Example 1: A cone has a radius of 3cm and height of 5cm, find total surface area of the cone. Solution: To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle. l2 = h2 + r2 l2 = 52 + 32 l2 = 25 + 9 l = √(34) l = 5.83 cm And the total surface area of the cone is: SA = πr2 + πrl SA = π · r · (r + l) SA = π · 3 · (3 + 5.83) SA = 83.17 cm2 Therefore, the total surface area of the cone is 83.17cm2

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Volume of cube....???

Posted by Himanshu Sharma 6 years, 7 months ago

CBSE > Class 08 > Mathematics

3 answers

Himanshu Sharma 6 years, 7 months ago

You are only for giving answers...okay

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Himanshu Sharma 6 years, 7 months ago

Shut up

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Zoya Malik 6 years, 7 months ago

What do you mean by this..? -?? are your foolish.. is this app is for making fun..? Idiot..

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Multiply 59049 by the smallest number so that the product is a perfect cube find the number what is the cube root of the product

Posted by Dipanshu Upadhyay 6 years, 7 months ago

CBSE > Class 08 > Mathematics

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Is 180 a perfect square gow we get to know about it

Posted by Surjit Kaur 6 years, 7 months ago

CBSE > Class 08 > Mathematics

2 answers

Rohith Vk 6 years, 7 months ago

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Surjit Kaur 6 years, 7 months ago

By prime factorisation method .If you get a pair of 2 of any no divided so then this is a perfect sq uf not no it is not a perfect sq

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In a class.80student passed and the rest guild.if80%of student failed find the number of student in the class

Posted by Sanjay Kumar 6 years, 7 months ago

CBSE > Class 08 > Mathematics

1 answers

Suraj Gaming 6 years, 7 months ago

Given : Total number of students passed = 80 Total percent of failed students = 80% Find the total percent of students passed :- Percent of Passed students = (100 - 80)% = 20% Let the total number of students in class be x According to the question, => 20% of x = 80 => 0.2 × x = 80 => x = 80/0.2 = 400 Hence, Total number of students in class = 400

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Construct a quadrilateral PQRS where PQ=4cm,QR=6cm,RS=5cm,PS=5.5cm and PR=7 cm

Posted by Manoj Haribabu 6 years, 7 months ago

CBSE > Class 08 > Mathematics