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    Question

    Chintu and Jimmy started a business by investing Rs.(3a - 200) and Rs.(4a - 400) respectively. Chintu invests his amount for 8 months whereas Jimmy invests his amount for 20 months. If the profit share of Jimmy at the end of 20 months was Rs.4,500 out of total profit of Rs. 5,940, then find the amount invested by Jimmy.

    A Rs.2,700 Correct Answer Incorrect Answer
    B Rs.1,800 Correct Answer Incorrect Answer
    C Rs.2,400 Correct Answer Incorrect Answer
    D Rs.2,000 Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit share of Chintu and Jimmy respectively = [(3a - 200) × 8]:[(4a - 400) × 20] = (6a - 400) :(20a - 2000) ATQ, (6a - 400) :(20a - 2000) = (5,940 - 4,500) :4,500 Or, (3a - 200) ÷ (10a - 1000) = (8/25) Or, 25 × (3a - 200) = 8 × (10a - 1,000) Or, 75a - 5,000 = 80a - 8,000 Or, 5a = 3,000 So, 'a' = 600 Therefore, amount invested by Jimmy = (4a - 400) = 4 × 600 - 400 = Rs. 2,000

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