Question
The sum of the incomes of A and B is Rs. 84,000. A
spends 50% of his income while B spends 70% of his income such that the savings of B is Rs. 6,000 less than that of A. If the income of C is 25% more than average savings of A and B together, then find the savings of C, given that C saves 20% of his income.Solution
Let the income of B be Rs. ‘x’ Therefore, income of A = Rs. (84000 – x) Savings of A = 0.5 × (84000 – x) = Rs. (42000 – 0.5x) Savings of B = Rs. 0.3x According to the question, 42000 – 0.5x = 0.3x + 6000 Or, 0.8x = 36000 Or, x = 45000 Savings of A = 42000 – 22500 = Rs. 19500 Savings of B = 13500 Income of C = 1.25 × {(19500 + 13500)/2}
= Rs. 20625 Savings of C = 0.2 × 20625 = Rs. 4125
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