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    Question

    Income of Meera is 12.5% more than the expenditure of

    Riya. Income of Riya is 40% more than the expenditure of Meera. If savings of Riya is Rs. 2,000 more than that of Meera and ratio between expenditure and savings of Meera is 5:1, respectively, then find the income of Riya.
    A 18000 Correct Answer Incorrect Answer
    B 19500 Correct Answer Incorrect Answer
    C 22500 Correct Answer Incorrect Answer
    D 24000 Correct Answer Incorrect Answer
    E 21000 Correct Answer Incorrect Answer

    Solution

    Let the expenditure of Riya be Rs. ‘8x’
    So, income of Meera = 8x × (9/8) = Rs. ‘9x’

    Let the expenditure of Meera be Rs. ‘5y’
    So, income of Riya = 5y × (7/5) = Rs. ‘7y’

    So, savings of Meera = 5y × (1/5) = Rs. y

    ATQ;

    9x – 5y = y
    Or, 9x = 6y
    Or, x = (2y/3)

    Since, savings of Riya is Rs. 2,000 more than that of Meera.

    7y – 8x = y + 2000
    On putting x = (2y/3):

    7y – 16y/3 = y + 2000
    Or, 5y/3 = y + 2000
    So, 2y/3 = 2000 ⇒ y = 3000

    So, income of Riya = 7 × 3000 = Rs. 21,000

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