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    Question

    Two individuals, 'P' and 'Q', started a business with

    initial investments of Rs. 5400 and Rs. 6200, respectively. After six months, 'P' increased his investment by Rs. 1200, while 'Q' raised his investment by Rs. Y. By the end of the year, the profit was divided between them in the ratio 6:7. Determine the value of Y.
    A 2000 Correct Answer Incorrect Answer
    B 1600 Correct Answer Incorrect Answer
    C 1200 Correct Answer Incorrect Answer
    D 2400 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Ratio of profit shares of 'P' and 'Q' respectively: = {5400 X 6 + (5400 + 1200) X 6}:{6200 X 6 + (6200 + Y) X 6} = {5400 + (5400 + 1200) }:{6200 + (6200 + Y) } = 12000:(12400 + Y) ATQ, 12000:(12400 + Y) = 6:7 Or, 84000 = 74400 + 6Y Or, 6Y = 84000 - 74400 = 9600 So, Y = 9600 ÷ 6 = 1600

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