Question
Ravi earns 25% more than Rohit, and Rohit spends 75% of
what Ravi spends. The ratio of Rohit's savings to Ravi’s savings is 5:7. If Rohit’s expenditure is Rs. 4500, what is his income?Solution
Let the income of Rohit = Rs. x Income of Ravi = x × 125% = 1.25x Expenditure of Rohit = Rs. 4500 Expenditure of Ravi = (4500 / 75) × 100 = Rs. 6000 According to the question, (x – 4500) : (1.25x – 6000) = 5 : 7 ⇒ 7x – 31500 = 6.25x – 42000 ⇒ 7x – 6.25x = 42000 – 31500 ⇒ 0.75x = 10500 ⇒ x = Rs. 14000 Income of Rohit = Rs.14000
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