Question
The monthly income of a person is Rs.25000 from which
he spends 20% on rent, 10% of remaining on food and 20% of remaining on clothing. The remaining amount, he shares between his son and daughter in the ratio of 5:4. Find the difference between amount spent on rent and share of his daughter.Solution
Let monthly income be 100x. Spent on rent = 100x × (20/100) = 20x Spent on food = (100x − 20x) × (10/100) = 8x Spent on clothing = (100x − 20x − 8x) × (20/100) = 14.4x Remaining amount = 100x − 20x − 8x − 14.4x = 57.6x Share of son = 57.6x × (5/9) = 32x Share of daughter = 57.6x − 32x = 25.6x Required difference = 25.6x − 20x = 5.6x => 5.6x × (25000/100x) = Rs. 1400
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