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    Question

    Income of 'Ravi' is 20% more than that of 'Amit', and

    the ratio of expenditure of Amit to that of Ravi is 3:4. Amit's income is Rs. 800 more than Ravi's expenditure, and Amit saves Rs. 200 more than Ravi. Find the income of Amit.
    A Rs.5000 Correct Answer Incorrect Answer
    B Rs.8000 Correct Answer Incorrect Answer
    C Rs.6000 Correct Answer Incorrect Answer
    D Rs.12000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let, the income of Amit be Rs. 20x So, income of Ravi = 1.20 × 20x = Rs. 24x Let, the expenditure of Amit and Ravi be Rs. 3y and Rs. 4y, respectively. Now, Savings of Amit = 20x – 3y Savings of Ravi = 24x – 4y Amit saves Rs. 200 more than Ravi: → 20x – 3y = 24x – 4y + 200 → y – 4x = 200 ..........(i) Also: Income of Amit = Expenditure of Ravi + 800 → 20x = 4y + 800 → 5x – y = 200 ..........(ii) Now, add (i) and (ii): y – 4x + 5x – y = 200 + 200 → x = 400 → Income of Amit = 20 × 400 = Rs. 8,000

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