Discussion
A man spends 2/5th of his earning. 1/4th of the expenditure goes to food, 1/5 on rent, 2/5 on travel and rest on donations. If his total earnings is ₹ 5,000, find his expenditure on donations?
Answer: C
The expenditure on donations is ₹ 300.
He spends 2/5 of 5,000, that is 2,000. Food, rent and travel take 1/4 + 1/5 + 2/5 of the expenditure:
\[ \begin{aligned} \tfrac{5}{20} + \tfrac{4}{20} + \tfrac{8}{20} &= \tfrac{17}{20} \\ \text{donations} &= \tfrac{3}{20} \times 2000 = 300 \end{aligned} \]
The trap is to take the fractions of the total earnings rather than of the expenditure, which gives 750; 100, 200 and 400 do not follow from the fractions.
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