Question
Rahul spends 25% of his monthly income on rent and 15%
on transport. If 30% of the rent is Rs. 2700 more than 20% of the transport expenses, find his monthly income.Solution
ATQ, Let the monthly income of Rahul = Rs. x Rent = x × 25/100 = Rs. (x/4) Transport = x × 15/100 = Rs. (3x/20) According to the question, (x/4) × (30/100) − (3x/20) × (20/100) = 2700 ⇒ 3x/40 − 3x/100 = 2700 ⇒ (7.5x − 3x)/100 = 2700 ⇒ 4.5x/100 = 2700 ⇒ x = 2700 × (100/4.5) ⇒ x = Rs. 60,000 Monthly income of Rahul = Rs. 60,000
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