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    Question

    Two friends, R and S, started a venture where R’s capital

    was Rs. 2,000 more than S’s. R withdrew his investment after 10 months. If the ratio of their profit shares is 11:12, then find the investment of R.
    A Rs.32000 Correct Answer Incorrect Answer
    B Rs.25000 Correct Answer Incorrect Answer
    C Rs.22000 Correct Answer Incorrect Answer
    D Rs.28500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the investment of S be Rs. a.

    Investment of R = Rs. (a + 2000)

    Profit ratio = [(a + 2000) × 10] : [a × 12] = (5a + 10000) : 6a

    ATQ,

    (5a + 10000) : 6a = 11 : 12

    ⇒ 12 × (5a + 10000) = 11 × 6a

    ⇒ 60a + 120000 = 66a

    ⇒ 6a = 120000

    ⇒ a = 20000

    Investment of R = 20000 + 2000 = Rs. 22,000

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