Question : The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 : 1. If each of them manages to save INR 4800 per month, find the sum of their monthly incomes (in INR).
Option 1: 21120
Option 2: 20120
Option 3: 21150
Option 4: 18150
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Correct Answer: 21120
Solution :
Given: The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 : 1. Each of them manages to save INR 4,800 per month.
Let their income be $7x, 4x$ and their expenditure be $3y, y$.
According to the question,
$7x-3y=4800$..........................(1)
$4x-y=4800$.........................(2)
Solving equations (1) and (2) we get,
$x=1920$ and $y=2880$
So, the sum of their monthly income $= (7x+4x) = 11x = 11×1920 = 21120$
Hence, the correct answer is 21120.
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