Question
Rahul spent 15% and 25% of his monthly salary on
electricity and groceries respectively. Out of the remaining amount, he spent 20% and 10% on education and health insurance, respectively. Now he gave 40% of the remaining amount to his wife and left with Rs. 15,120. Find the amount spent by Rahul on education.Solution
Let the monthly salary of Rahul = Rs. 100x Amount spent by Rahul on electricity and groceries together = 15x + 25x = Rs. 40x Amount spent by Rahul on education and health insurance together = 0.30 Γ (100x β 40x) = Rs. 18x Amount given to wife = 0.40 Γ (100x β 40x β 18x) = Rs. 16.8x So amount left with him = 0.60 Γ (100x β 40x β 18x) = 15120 25.2x = 15120 x = 600 So the amount spent by Rahul on education = 0.20 Γ 60 Γ 600 = Rs. 7,200
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