Math, asked by raushankumar92, 1 year ago

The ratio of income of two persons is 9:7 , and the ratio of their expenditure is 4:3.Each of them saves ₹200 yearly .Find their yearly income​

Answers

Answered by saivivek16
13

Step-by-step explanation:

9x-4y=200—(1)

7x-3y=200—(2)

x=(200+4y)÷9—(3)

replacing in eq2

7[(200+4y)/9]-3y=200

(1400+28y)/9-3y=200

(1400+28y-27y)÷9=200

y+1400=1800

y=400

replacing in eq3

x=(200+4×400)÷9

x=(200+1600)÷9

x=1800÷9

x=200

first person=9×200=1800

second person=7×200=1400

Hope it will help you


raushankumar92: thanks
raushankumar92: bro
Answered by devanayan2005
5

Hi friend

let their salaries 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

Hope helps

Pls mark brainliest


raushankumar92: thanks
devanayan2005: welcome....
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