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    Question

    The income of Mr. Chandu is Rs. 36,000, and Mr.

    Dinesh’s income is ‘p%’ less than Mr. Chandu. Mr. Dinesh saves Rs. 5,400, which is ‘p%’ less than the savings of Mr. Chandu. If Mr. Dinesh’s expenses amount to Rs. 27,000, find Mr. Chandu’s expenditure.
    A Rs.45,000 Correct Answer Incorrect Answer
    B Rs.25,000 Correct Answer Incorrect Answer
    C Rs.30,000 Correct Answer Incorrect Answer
    D Rs.48,000 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Income of Mr. Dinesh = [(100 - p) ÷ 100] × 36,000 = Rs. (36,000 - 360p)

    Expenditure of Mr. Dinesh = Income of Dinesh - Savings of Dinesh = 36,000 - 360p - 5,400 = Rs. (30,600 - 360p)

    So, 30,600 - 360p = 27,000

    ⇒ 360p = 3,600

    ⇒ p = 10

    Savings of Mr. Chandu = (5,400 ÷ 0.9) = Rs. 6,000

    Therefore, Expenditure of Mr. Chandu = Income - Savings = 36,000 - 6,000 = Rs. 30,000

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