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    Question

    P and Q invest Rs. 3000 and Rs. 4500. After 3 months, P

    increases his capital by Rs. 1500. If the total annual profit is Rs. 2300, find the difference between their profit shares.
    A Rs.180 Correct Answer Incorrect Answer
    B Rs.145 Correct Answer Incorrect Answer
    C Rs.258 Correct Answer Incorrect Answer
    D Rs.100 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    P’s time-weighted capital = (3000 × 3) + (3000 + 1500) × 9 = 9000 + 4500 × 9 = 9000 + 40500 = 49500 Q’s time-weighted capital = 4500 × 12 = 54000 Ratio (P : Q) = 49500 : 54000 = 11 : 12 Difference = 2300 × (12 − 11) / (11 + 12) = 2300 × 1/23 = Rs. 100

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