If person A and B have incomes in the ratio 7 5 and expenditure in the ratio 3 2 and each one of the...........

Quantitative Aptitude ( CCS) Ratio, Proportion

If person A and B have incomes in the ratio 7:5 and expenditure in the ratio 3:2 and each one of them saves rs R, then what is the income of A?

Rs. 7

Rs. 6

Rs. 8

Rs. 5

Consider incomes of A = 7x
and that of B= 5x

Consider expenditure of A = 3y
and that of B= 2y

Now Savings = Income - Expernditures

As it is given that both of them Save Rs ‘R’ so their savings is equal

Savings of A = Saving of B
7x - 3y = 5x - 2y
2x = y …………………… 1

Now Savings of A = 7x - 3y = R
Substituting value of y = 2x from 1

7x - 3*2x = R
7x - 6x = R

x = R
y = 2R

Now we can get income of A in terms of R which is

Hence, option 1 is the correct answer.

Income of A = 7R

By: Amit Kumar

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