Question
Priya spent 45% of her income on rent and 30% on food.
If 10% of the rent is Rs. 2700 more than 5% of the food amount, find her monthly income.Solution
ATQ, Let the monthly income of Priya = Rs. x Rent = x × 45/100 = Rs. (9x/20) Food = x × 30/100 = Rs. (3x/10) According to the question, (9x/20) × (10/100) − (3x/10) × (5/100) = 2700 ⇒ 9x/200 − 3x/200 = 2700 ⇒ 6x/200 = 2700 ⇒ x = 2700 × (200/6) ⇒ x = Rs. 90,000 Monthly income of Priya = Rs. 90,000
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