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.
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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