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    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?
    A Rs.10000 Correct Answer Incorrect Answer
    B Rs.14000 Correct Answer Incorrect Answer
    C Rs.18000 Correct Answer Incorrect Answer
    D Rs.24000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the income of Rohit = Rs. x Income of Ravi = x Γ— 125% = 1.25x Expenditure of Rohit = Rs. 4500 Expenditure of Ravi = (4500 / 75) Γ— 100 = Rs. 6000 According to the question, (x – 4500) : (1.25x – 6000) = 5 : 7 β‡’ 7x – 31500 = 6.25x – 42000 β‡’ 7x – 6.25x = 42000 – 31500 β‡’ 0.75x = 10500 β‡’ x = Rs. 14000 Income of Rohit = Rs.14000

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