Question
The sum of the incomes of 'A' and 'B' is Rs. 80,000. If 'A' spends 65% of his income while 'B' spends 75% of his income, then the savings of 'A' will be Rs. 6,400 more than that of 'B'. Find the income of 'A'.
Solution
Let the income of 'A' be Rs. 'x' Therefore, income of 'B' = Rs. (80000 - x) Savings of 'A' = 0.35 X x = Rs. '0.35x' Savings of 'B' = Rs. {0.25 X (80000 - x)} According to the question, 0.35x - 0.25 X (80000 - x) = 6400 Or, 0.35x - 20000 + 0.25x = 6400 Or, 0.6x = 26400 Or, x = 44000 Therefore, income of 'A' = Rs. 44,000
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