Question
The sum of the incomes of 'A' and 'B' is Rs. 45,000. If
'A' spends 85% of his income while 'B' spends 70% of his income, then the savings of 'B' will be Rs. 5,400 more than that of 'A'. Find the income of 'A'.Solution
Let the income of 'A' be Rs. 'x' Therefore, income of 'B' = Rs. (45000 - x) Savings of 'A' = 0.15 X x = Rs. '0.15x' Savings of 'B' = Rs. {0.30 X (45000 - x)} According to the question, 0.30 X (45000 - x) - 0.15x = 5400 Or, 13500 - 0.30x - 0.15x = 5400 Or, 0.45x = 8100 Or, x = 18000 Therefore, income of 'A' = Rs. 18,000
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