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    Question

    Sonia and Isha started a business with investments of

    Rs. 3100 and Rs. 2300, respectively. Four months into the business, Jai joined them with an investment of Rs. 4100. By the year's end, Jai's share of the profit amounted to Rs. 1640. Calculate the difference in profit share between Sonia and Isha.
    A Rs.270 Correct Answer Incorrect Answer
    B Rs.320 Correct Answer Incorrect Answer
    C Rs.480 Correct Answer Incorrect Answer
    D Rs.240 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Ratio of profit shares of Sonia, to that of Isha, and to that of Jai = (3100 × 12) : (2300 × 12) : (4100 × 8) = 93:69:82. Let the profit share of Sonia, Isha, and Jai be Rs. '93a', Rs. '69a', and Rs. '82a', respectively. ATQ: 82a = 1640 Or, 'a' = (1640 / 82) = 20 So, difference between profit shares of Sonia and Isha = 93a - 69a = 24a = 24 × 20 = Rs. 480

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