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The monthly incomes of two friends Chetan and Vipul, are in the ratio 5 : 7 respectively and each of them saves ₹96000 every month. If the ratio
Question

The monthly incomes of two friends Chetan and Vipul, are in the ratio 5 : 7 respectively and each of them saves ₹96000 every month. If the ratio of their monthly expenditure is 2 : 4, find the monthly income of Chetan(in ₹).

A.

224000

B.

160000

C.

161000

D.

159000

Correct option is B

Given:

Income ratio (Chetan : Vipul) = 5 : 7
Expenditure ratio = 2 : 4
Each saves = ₹96,000

Formula Used:
Income = Expenditure + Savings

Solution:

Let incomes = 5x, 7x and expenditures = 2y, 4y.
For Chetan: 5x − 2y = 96,000
For Vipul: 7x − 4y = 96,000

Subtract

2x − 2y = 0

x = y.
Then 5x − 2x = 96,000

3x = 96,000

x = 32,000
Chetan’s income = 5x = 5 × 32,000 = ₹1,60,000

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