Question
From Ravi's monthly income, he spends 30% on rent and
then 25% of the remaining on household items. After that, he uses 40% of the remaining money on utility bills. The amount left is divided between his daughters Riya and Sia in the ratio 3:2. If Riya receives Rs. 12,600, what is Ravi's total monthly income?Solution
ATQ,
Let Ravi's monthly income be Rs. 100x Rent = 100x × 0.30 = Rs. 30x Household = (100x - 30x) × 0.25 = Rs. 17.5x Utilities = (100x - 30x - 17.5x) × 0.40 = Rs. 21x Remaining = 100x - (30x + 17.5x + 21x) = Rs. 31.5x Riya’s share = 31.5x × (3/5) = Rs. 18.9x According to question: 18.9x = 12,600 ⇒ x = 667 Monthly income = 100x = 100 × 667 = Rs. 66,700
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