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    Question

    Rahul and Seema started a business with investments of

    Rs. 2000 and Rs. 2800, respectively. Three months into the business, Tanvi joined them with an investment of Rs. 3600. By the year's end, Tanvi's share of the profit amounted to Rs. 1080. Calculate the difference in profit share between Rahul and Seema.
    A Rs.165 Correct Answer Incorrect Answer
    B Rs.320 Correct Answer Incorrect Answer
    C Rs.180 Correct Answer Incorrect Answer
    D Rs.265 Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit shares of Rahul, to that of Seema, and to that of Tanvi = (2000 × 12) : (2800 × 12) : (3600 × 9) = 20:28:27. Let the profit share of Rahul, Seema, and Tanvi be Rs. '20a', Rs. '28a', and Rs. '27a', respectively. ATQ: 27a = 1080 Or, 'a' = (1080 / 27) = 40 So, difference between profit shares of Rahul and Seema = 28a - 20a = 8a = 8 × 40 = Rs. 320

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