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    Question

    'A' and 'B' invested (x + 40) and (x - 80) rupees,

    respectively, in a business. After one year, they made additional investments of Rs. 520 and Rs. 120, respectively. At the end of the second year, the total profit was Rs. 6,000, of which 'A' received Rs. 3,750. Determine the ratio of the initial investments made by A to B.
    A 4:3 Correct Answer Incorrect Answer
    B 6:5 Correct Answer Incorrect Answer
    C 9:7 Correct Answer Incorrect Answer
    D 8:7 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of profit share of A to B = [x + 40 + x + 40 + 520]:[x – 80 + x – 80 + 120] = (2x + 600):(2x – 40)

    According to question;

    (2x + 600)/(2x – 40) = 3750/2250 = 5/3

    Or, 6x + 1800 = 10x – 200

    Or, 4x = 2000

    Or, x = 500

    Desired ratio = (500 + 40):(500 – 80) = 540:420 = 9:7

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