Question
The sum of the incomes of 'A' and 'B' is Rs. 40,000. If 'A' spends 80% of his income while 'B' spends 60% of his income, then the savings of 'B' will be Rs. 4,000 more than that of 'A'. Find the income of 'A'.
Solution
Let the income of 'A' be Rs. 'x' Therefore, income of 'B' = Rs. (40000 - x) Savings of 'A' = 0.20 X x = Rs. '0.20x' Savings of 'B' = Rs. {0.40 X (40000 - x)} According to the question, 0.40 X (40000 - x) - 0.20x = 4000 Or, 16000 - 0.40x - 0.20x = 4000 Or, 0.6x = 12000 Or, x = 20000 Therefore, income of 'A' = Rs. 20,000
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