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    Question

    Income of Neel is 20% more than the expenditure of

    Kabir. Income of Kabir is 33⅓% more than the expenditure of Neel. If savings of Kabir is Rs. 1,000 less than that of Neel and ratio between expenditure and savings of Neel is 7:2, respectively, then find the income of Kabir.
    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 Kabir be Rs. ‘5x’
    So, income of Neel = 5x × (6/5) = Rs. ‘6x’

    Let the expenditure of Neel be Rs. ‘3y’
    So, income of Kabir = 3y × (4/3) = Rs. ‘4y’

    So, savings of Neel = 3y × (2/7) = Rs. (6y/7)

    ATQ;

    6x – 3y = (6y/7)
    Or, 6x = (27y/7)
    Or, x = (9y/14)

    Since, savings of Kabir is Rs. 1,000 less than that of Neel.

    4y – 5x = (6y/7) – 1000
    On putting x = (9y/14):

    11y/14 = 12y/14 – 1000
    Or, y/14 = 1000
    So, y = 14000

    So, income of Kabir = 4 × 14000 = Rs. 56,000

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