Question
A sum of Rs. 46,000 was divided between 'A' and 'B' such
that the amount received by 'B' was 30% more than that by 'A'. If 'A' and 'B' spent 10% and 25% of the respective amounts received by them, then find the sum of amounts spent by 'A' and 'B' together.Solution
Let the amount received by ‘A’ = Rs. ‘10x’ Then amount received by ‘B’ = 10x × 1.3 = Rs. ‘13x’ we have, 10x + 13x = 46000 So, x = 46000 ÷ 23 = 2000 So, amount received by ‘A’ = 10 × 2000 = Rs. 20,000
Amount received by ‘B’ = 13 × 2000 = Rs. 26,000 Amount spent by ‘A’ = 20000 × 0.1 = Rs. 2,000
Amount spent by ‘B’ = 26000 × 0.25 = Rs. 6,500 So, required sum = 2000 + 6500 = Rs. 8,500
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