Question
Aman, Bhanu, and Chetna joined a business, investing Rs.
1200, Rs. 1600, and Rs. 'r', respectively. After 6 months, Aman, Bhanu, and Chetna increased their investments by Rs. 'r', Rs. 'r', and Rs. 800, respectively. At the end of 15 months, Aman's share of the total profit of Rs. 5200 is Rs. 1800. Determine the value of 'r'.Solution
ATQ, Ratio of profit share of ‘Aman’, ‘Bhanu’ and ‘Chetna’, respectively = [1200 × 15 + r × 9]:[1600 × 15 + r × 9]:[r × 15 + 800 × 9] = [6000 + 3r]: [8000 + 3r]:[5r + 2400] So, (3r + 6000)/(11r + 16400) = 1800/5200 = 9/26 Or, 78r + 156000 = 99r + 147600 Or, 21r = 8400 Or, r = 400
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