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    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'.
    A 345 Correct Answer Incorrect Answer
    B 370 Correct Answer Incorrect Answer
    C 425 Correct Answer Incorrect Answer
    D 400 Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    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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