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    Question

    β€˜M’ and β€˜N’ started a business by investing Rs.

    6,000 and Rs. 9,000 respectively. β€˜x’ months later, they admitted β€˜O’ as a partner who invested Rs. 12,000. If at the end of the year, the profit share of β€˜M’ was Rs. 8,000 out of the total profit of Rs. 24,000, then find the value of β€˜x’.
    A 6 Correct Answer Incorrect Answer
    B 8 Correct Answer Incorrect Answer
    C 4 Correct Answer Incorrect Answer
    D 5 Correct Answer Incorrect Answer
    E 9 Correct Answer Incorrect Answer

    Solution

    Let β€˜O’ invested for β€˜m’ months. So,
    x = 12 βˆ’ m Ratio of profit shares of β€˜M’, β€˜N’ and β€˜O’
    = (6000 Γ— 12) : (9000 Γ— 12) : (12000 Γ— m) = 72 : 108 : 12m ATQ, 8000 / 24000 = 72 / (72 + 108 + 12m) 1 / 3 = 72 / (180 + 12m) 180 + 12m = 216 12m = 36 m = 3 So, x = 12 βˆ’ 3 = 9

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