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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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