Ratio of income of two persons …

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Ratio of income of two persons is 9:7 and ratio of their expenditures is 4:3 .If each of them saves ₹200 per month find their monthly income.

Posted by Sujata Thipse 3 years, 11 months ago

CBSE > Class 09 > Mathematics

2 answers

Sunaada Acharya 3 years, 11 months ago

ANSWER Let the income of first-person be Rs 9x and the income of the second person be Rs. 7x. Further, let the expenditures of the first and second person be 4y and 3y respectively. Then, Saving of first-person =9x−4y Saving of second person =7x−3y ∴9x−4y=200⇒9x−4y−200=0 (i) and, 7x−3y−200⇒7x−3y−200=0 .(ii) Solving equation (i) and (ii) by cross-multiplication, we have (−4×−200)−(−3×−200) x = (−200×−9)−(−200×−7) −y = (9×−3)−(7×−4) 1 800−600 x = −1800+1400 −y = −27+28 1 ⇒x=200 and y=400 Thus, monthly income of first person =Rs. 9x= Rs. (9×200)= Rs. 1800 and, monthly income of second person =Rs. 7x=Rs. (7×200)=Rs. 1400

1Thank You

Gaurav Seth 3 years, 11 months ago

Let their salaries/income be 9x and 7x
let their expenditure be 4y and 3y

so,

ATQ
9x-4y=200—(1)
7x-3y=200—(2)

so,

from (1)
x=(200+4y)/9—(3)

put x in (2)
7[(200+4y)/9]-3y=200
(1400+28y)/9-3y=200
(1400+28y-27y)/9=200
y+1400=1800
y=400

now put y in (3)
x=(200+4×400)/9
x=(200+1600)/9
x=1800/9
x=200

so,
salary of first person=9×200=1800 rs
salary of second person=7×200=1400 rs

1Thank You

ANSWER

Related Questions

What is 38747484±393884747

Posted by Alvin Thomas 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Cost of a pen is two and half times the cost of a pencil. Express the situation as a linear equation in two variables

Posted by Kirshika Ganesh 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

Ch-1 introduction

Posted by Sheikh Alfaz 4 days, 16 hours ago

CBSE > Class 09 > Mathematics

0 answers

The polynomial of the type ax²+bx+c,a=0 is called

Posted by Gnani Yogi 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

3√2×4√2×12√32

Posted by Manas Khurana 2 months, 3 weeks ago

CBSE > Class 09 > Mathematics

0 answers

This content has been hidden. One or more users have flagged this content as inappropriate. Once content is flagged, it is hidden from users and is reviewed by myCBSEguide team against our Community Guidelines. If content is found in violation, the user posting this content will be banned for 30 days from using Homework help section. Suspended users will receive error while adding question or answer. Question comments have also been disabled. Read community guidelines at https://mycbseguide.com/community-guidelines.html

Few rules to keep homework help section safe, clean and informative.

Don't post personal information, mobile numbers and other details.
Don't use this platform for chatting, social networking and making friends. This platform is meant only for asking subject specific and study related questions.
Be nice and polite and avoid rude and abusive language. Avoid inappropriate language and attention, vulgar terms and anything sexually suggestive. Avoid harassment and bullying.
Ask specific question which are clear and concise.

Remember the goal of this website is to share knowledge and learn from each other. Ask questions and help others by answering questions.

Posted by T Prudhvi 1 day ago

CBSE > Class 09 > Mathematics