Question : The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9. If each saves Rs. 50 per month, then their monthly incomes are:
Option 1: Rs. 900; Rs. 500
Option 2: Rs. 400; Rs. 500
Option 3: Rs. 700; Rs. 900
Option 4: Rs. 400; Rs. 700
Correct Answer: Rs. 400; Rs. 500
Solution :
The monthly income of two persons is in the ratio 4 : 5 and their expenditures are in the ratio 7 : 9.
Let the monthly income of one person be 4$x$ and that of another be 5$x$,
Let the monthly expenditure of one person be 7$y$ and that of another be 9$y$.
According to the question,
$4x-7y=50$ .........................(1)
$5x-9y=50$ ..........................(2)
Solving these equations we get,
$x=100$ and $y= 50$
So, the income of one person $=4×100=400$
and the income of another person $=5×100=500$
Hence, the correct answer is Rs. 400; Rs. 500.
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