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    Question

    Income of Samar is 50% more than the expenditure of

    Tanu. Income of Tanu is 20% more than the expenditure of Samar. If savings of Tanu is Rs. 1,600 less than that of Samar and ratio between expenditure and savings of Samar is 5:2, respectively, then find the income of Tanu.
    A 12000 Correct Answer Incorrect Answer
    B 13200 Correct Answer Incorrect Answer
    C 14400 Correct Answer Incorrect Answer
    D 15600 Correct Answer Incorrect Answer
    E 16800 Correct Answer Incorrect Answer

    Solution

    Let the expenditure of Tanu be Rs. ‘2x’
    So, income of Samar = 2x × (3/2) = Rs. ‘3x’

    Let the expenditure of Samar be Rs. ‘5y’
    So, income of Tanu = 5y × (6/5) = Rs. ‘6y’

    So, savings of Samar = 5y × (2/5) = Rs. 2y

    ATQ;

    3x – 5y = 2y
    Or, 3x = 7y
    Or, x = (7y/3)

    Since, savings of Tanu is Rs. 1,600 less than that of Samar.

    6y – 2x = 2y – 1600
    On putting x = (7y/3):

    6y – 14y/3 = 2y – 1600
    Or, 4y/3 = 2y – 1600
    Or, 2y/3 = 1600 ⇒ y = 2400

    So, income of Tanu = 6 × 2400 = Rs. 14,400

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