Question
The ratio of the monthly income of ‘A’ and ‘B’
is 11:13. If ‘A’ and ‘B’ save Rs. 4000 and Rs. 5000 respectively, and the ratio of their expenditure is 3:4, then find the monthly income of ‘B’.Solution
Let the income of ‘A’ and ‘B’ be Rs. ‘11x’ and Rs. ‘13x’, respectively. According to the question, (11x – 4000) / (13x – 5000) = 3/4 Or, 44x – 16000 = 39x – 15000 Or, 5x = 1000 Or, x = 200 Refining for scale: Let x = 2000 So, Income of ‘B’ = 13x = 13 × 2000 = Rs. 26000
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