Question
Armaan, Malik, and Chinky collectively invested Rs. 1.05
lakh in a business. The investment ratios among them are such that Armaan's investment to Malik's is in a 7:3 ratio, and Malik's investment to Chinky's is in a 2:5 ratio. After 9 months, Armaan increased his investment by Rs. 8,000, and Chinky withdrew Rs. 5,000 from her investment. At the end of the year, the total profit from the business amounted to Rs. 84,600. What is Malik's share of the profit?Solution
ATQ, Let amount invested by 'Armaan' and 'Malik' be Rs. '7a' and Rs. '3a', respectively So, amount invested by 'Chinky' = (5/2) × 3a = Rs. '7.5a' 7a + 3a + 7.5a = 1,05,000 Or, 17.5a = 1,05,000 a = 6,000 So, investment by 'Armaan' = 7a = 14 × 6,000 = Rs.42,000 Similarly, Investment by 'Malik' = Rs. 18,000 Investment by 'Chinky' = Rs. 45,000 Ratio of profit share of 'Armaan', 'Malik' and 'Chinky' at the end of the year = [(42,000 × 9) + (50,000 × 3)] : [18,000 × 12] : [(45,000 × 9) + (40,000 × 3)] = 176:72:175 So, profit share of 'Malik' = {72/(176 + 72 + 176)} × 84600 = Rs.14,400
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