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.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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