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    Question

    A, B, and C invest in a business.  A invests ₹45,000

    for 10 months,   B invests ₹30,000 for 12 months,   C invests ₹60,000 for 6 months.  If the total profit at the end of the year is ₹1,17,000, what is B’s share of the profit?
    A ₹56,000 Correct Answer Incorrect Answer
    B ₹36,000 Correct Answer Incorrect Answer
    C ₹46,070 Correct Answer Incorrect Answer
    D ₹26,500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Compute “capital × time” for each: A: 45,000 × 10 = 4,50,000  B: 30,000 × 12 = 3,60,000  C: 60,000 × 6 = 3,60,000  Ratio A : B : C = 4,50,000 : 3,60,000 : 3,60,000  Divide by 90,000 → 5 : 4 : 4  Total parts = 5 + 4 + 4 = 13  Total profit = ₹1,17,000  1 part = 1,17,000 ÷ 13 = 9,000  B’s share = 4 parts = 4 × 9,000 = ₹36,000

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