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
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
Answered by
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
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