Question : A father gives 8% of his monthly income to both his sons as pocket money. The elder son gets 85% of the total amount given to both sons. He spends 90% of the amount and saves INR 17. What is the monthly income of the father?
Option 1: INR 5,000
Option 2: INR 4,500
Option 3: INR 3,500
Option 4: INR 2,500
Correct Answer: INR 2,500
Solution :
Let the father’s monthly income be $x$.
Money saved by elder son = INR 17
Money given to the sons = 8% of $x$ = 0.08$x$
Money given to elder brother = 85% of 0.08$x$ = 0.068$x$
Percentage of money spent by him = 90%
Percentage of money saved by him = 10%
Money saved by him = 10% of 0.068$x$ = 0.0068$x$
Also, 0.0068$x$ = 17
⇒ $x$ = 2500
Hence, the correct answer is INR 2,500.
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