Question
Amit spent 20% and 10% of his monthly salary on rent
and clothes respectively. Out of the remaining amount, he spent 15% and one-fourth on medicine and fuel, respectively. Now he donated 20% of the remaining amount to a trust and left with Rs. 26,880. Find the amount spent by Amit on fuel.Solution
Let the monthly salary of Amit = Rs. 100x Amount spent by Amit on rent and clothes together = 20x + 10x = Rs. 30x Amount spent by Amit on medicine and fuel together = 0.40 Γ (100x β 30x) = Rs. 28x Amount donated to trust = 0.20 Γ (100x β 30x β 28x) = Rs. 8.4x So amount left with him = 0.80 Γ (100x β 30x β 28x) = 26880 33.6x = 26880 x = 800 So the amount spent by Amit on fuel = 0.25 Γ 70 Γ 800 = Rs. 14,000
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