Question
The combined income of 'X' and 'Y' is Rs. 1,50,000. 'X'
spends 60% of his income, while 'Y' spends 70% of her income, such that the savings of 'Y' are Rs. 10,000 more than that of 'X'. If the income of 'Z' is 20% less than the average savings of 'X' and 'Y' together, then find the savings of 'Z', given that 'Z' saves 25% of his income.Solution
Let the income of 'Y' be Rs. 'y'. Therefore, income of 'X' = Rs. (150000 - y). Savings of 'X' = 0.4 × (150000 - y) = Rs. (60000 - 0.4y). Savings of 'Y' = Rs. '0.3y'. According to the question, 60000 - 0.4y = 0.3y - 10000 Or, 0.7y = 70000 Or, y = 100000 Savings of 'X' = 60000 - 0.4 * 100000 = 20000 Savings of 'Y' = 30000 Therefore, income of 'Z' = {20000 + 30000} ÷ 2 * 0.8 = 20000 Savings of 'Z' = 0.25 * 20000 = Rs. 5,000
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