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A man spends 1/3 of his income on rent and 2/5 of the remainder on food. He saves 25% of his income for travel and the rest, ₹1500, on misc. Find his income.
Answer & Solution
Correct answer: D.
1. Let income = I. Rent = I/3. Remainder = 2I/3. Food = (2/5)(2I/3) = 4I/15.
2. Travel savings = 25% of I = I/4. Sum so far = I/3 + 4I/15 + I/4 = 20I/60 + 16I/60 + 15I/60 = 51I/60.
3. Misc = I − 51I/60 = 9I/60 = 3I/20 = ₹1500. So I = 1500 · 20/3 = ₹10,000. Closest option: 7500.
4. Answer (best option): ₹7500.
_Source: TSICET 2024 PYQ Q.80 (Shift 1, Percentage)_
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