Question

    'X' and 'Y' began a partnership with investments of Rs.

    (x + 600) and Rs. (x + 300) respectively. After 6 months, 'X' added Rs. 800 to his capital, and 'Y' exited the business. At the end of the year, 'Y' got Rs. 1800 out of the total profit of Rs. 7200. What was the initial investment of 'X'?
    A Rs.1700 Correct Answer Incorrect Answer
    B Rs.1650 Correct Answer Incorrect Answer
    C Rs.1220 Correct Answer Incorrect Answer
    D Rs.1500 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Ratio of profit share of 'X' and 'Y': = {6 × (x + 600) + 6 × (x + 1400)} : {6 × (x + 300)} = (2x + 2000) : (x + 300) According to question, (2x + 2000) / (x + 300) = (7200 - 1800) / 1800 (2x + 2000) / (x + 300) = 5400 / 1800 = 3 / 1 ⇒ (2x + 2000) = 3 × (x + 300) ⇒ 2x + 2000 = 3x + 900 ⇒ 1100 = x ∴ Initial investment of 'X' = x + 600 = Rs. 1700

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