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    Question

    Income of Arjun is 25% more than the expenditure of

    Varun. Income of Varun is 60% more than the expenditure of Arjun. If savings of Varun is Rs. 5,000 more than that of Arjun and ratio between expenditure and savings of Arjun is 8:3, respectively, then find the income of Varun.
    A 48000 Correct Answer Incorrect Answer
    B 56000 Correct Answer Incorrect Answer
    C 64000 Correct Answer Incorrect Answer
    D 72000 Correct Answer Incorrect Answer
    E 80000 Correct Answer Incorrect Answer

    Solution

    Let the expenditure of Varun be Rs. ‘4x’
    So, income of Arjun = 4x × (5/4) = Rs. ‘5x’
    Let the expenditure of Arjun be Rs. ‘5y’
    So, income of Varun = 5y × (8/5) = Rs. ‘8y’
    So, savings of Arjun = 5y × (3/8) = Rs. (15y/8)
    ATQ;
    5x – 5y = (15y/8)
    Or, 5x = (55y/8)
    Or, x = (11y/8)
    Since, savings of Varun is Rs. 5,000 more than that of Arjun.
    8y – 4x = (15y/8) + 5000
    On putting x = (11y/8):
    5y/2 = 15y/8 + 5000
    Or, 20y = 15y + 40000
    So, y = 8000
    So, income of Varun = 8 × 8000 = Rs. 64,000

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