Question
The sum of the incomes of 'A' and 'B' is Rs. 50,000. If
'A' spends 70% of his income while 'B' spends 80% of his income, then the savings of 'A' will be Rs. 3,000 more than that of 'B'. Find the income of 'A'.Solution
Let the income of 'A' be Rs. 'x' Therefore, income of 'B' = Rs. (50000 - x) Savings of 'A' = 0.30 X x = Rs. '0.30x' Savings of 'B' = Rs. {0.20 X (50000 - x)} According to the question, 0.30x - 0.20 X (50000 - x) = 3000 Or, 0.30x - 10000 + 0.20x = 3000 Or, 0.5x = 13000 Or, x = 26000 Therefore, income of 'A' = Rs. 26,000
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Conclusion II: All belts are gold.
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