Question
Shri and Rishi together start a business by investing
Rs. 48,000. The investment of Shri is 40% more than that of Rishi. After 18 months from start, Shri left the business, but Rishi added Rs. 5000 in his initial investment. At the end of 24 months, total profit is Rs. 33,800. Find the profit share of Rishi.Solution
Let the initial investment of Rishi be Rs. 5x. So, initial investment of Shri = 5x × 1.4 = Rs. 7x ATQ, 7x + 5x = 48,000 12x = 48,000 x = 4,000 So, initial investment of Shri = 7x = 7 × 4,000 = Rs. 28,000 Initial investment of Rishi = 5x = 5 × 4,000 = Rs. 20,000 Now, profit share ratio = Shri: (28,000 × 18) Rishi: (20,000 × 18 + 25,000 × 6) = 504,000 : (360,000 + 150,000) = 504,000 : 510,000 = 84:85 Therefore, profit share of Rishi = 33,800 × (85/169) = Rs. 17,000
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