Question
The sum of the earnings of 'D' and 'E' is Rs. 2,20,000.
'D' uses 75% of his income, while 'E' uses 65% of hers, so that 'E's savings are Rs. 17,000 more than 'D's. If 'F's income is 10% less than the combined average savings of 'D' and 'E', find 'F's savings, assuming 'F' saves 50% of his income.Solution
Let the income of 'E' be Rs. 'q'. Therefore, income of 'D' = Rs. (220000 - q). Savings of 'D' = 0.25 × (220000 - q). Savings of 'E' = Rs. '0.35q'. According to the question, 0.25 * (220000 - q) + 17000 = 0.35q Or, 55000 – 0.25q + 17000 = 0.35q Or, 0.6q = 72000 Or, q = 120000 Savings of 'D' = 0.25 × (220000 - q) = 55000 – 30000 = 25000 Savings of 'E' = 42000 Therefore, income of 'F' = {25000 + 42000} ÷ 2 * 0.90 = 30150 Savings of 'F' = 0.50 * 30150 = Rs. 15,0 75
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