the ratios of incomes of two persons is 11:3 and the ratios of their expenditure is 9:5 if each one manages to save rupees 400 per month, find their monthly incomes?
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Consider the monthly income of both be 11x and 7x and expenditure be 9y and 5y.
According to the question,
11x - 9y = 400
7x - 5y = 400
by using elimination method,
77x - 63 y = 2800 -------(1)
77x - 55y = 4400 ----------(2)
Substract (2) from (1) we get
77x -77x -63y +55y = 2800 - 4400
-8 y = -1600
y = 1600/8 = 200
then x = 1400/7 = 200
∴ the incomes of both are,11x = Rs.2200 and 7x = Rs.1400 .
According to the question,
11x - 9y = 400
7x - 5y = 400
by using elimination method,
77x - 63 y = 2800 -------(1)
77x - 55y = 4400 ----------(2)
Substract (2) from (1) we get
77x -77x -63y +55y = 2800 - 4400
-8 y = -1600
y = 1600/8 = 200
then x = 1400/7 = 200
∴ the incomes of both are,11x = Rs.2200 and 7x = Rs.1400 .
pavan199:
the income ratio is 11:3 but not 11:3
but not 11:7
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