Question
Suyash allocates 30% of his earnings for expenses and
distributes the rest between his wife and two children—a daughter and a son—in a 2:5 ratio, respectively. If the amount the daughter receives is in a 3:2 ratio compared to what the son receives, and the son receives Rs. 2,400, calculate how much Suyash spends.Solution
Let the income of Suyash be Rs. '100c'. Money spent by Suyash = 0.3 X 100c = Rs. '30c' Money received by his wife = (2/7) X (100c - 30c) = Rs. '20c' Money received by his children = (5/7) X (100c - 30c) = Rs. '50c' Money received by his son = (2/5) X 50c = Rs. '20c' ATQ, 20c = 2400 Or, 'c' = 120 Therefore, money spent by Suyash = Rs. '30c' = Rs. (30 X 120) = Rs. 3,600
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