Question 45

The incomes of two persons is in the ratio of 9:7 and their expenditures is in the ratio of 4:3. If each of them manages to save Rs. 3000 per month, find the difference in their income.

Solution

Let the incomes of two persons be 9x and 7x.
Let the expenditures of two persons be 4y and 3y
It is given that,
9x - 4y = 7x - 3y = 3000
9x - 4y = 7x - 3y
y = 2x .......... (i)
7x - 3y = 3000 ........... (ii)
Solving (i) and (ii), we get
x = 3000 and y = 6000
Difference in income = 2x = 2*3000 = Rs 6000

Answer is option C.

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TISSNET 2022

The incomes of two persons is in the ratio of 9:7 and their expenditures is in the ratio of 4:3. If each of them manages to save Rs. 3000 per month, find the difference in their income.

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