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    Question

    A started a business. B joined him after 2 months and C joined him after 3 more months. Find B’s share in the total profit at the end of the year.

    Statement I - A invested Rs. 2000 less than B while B invested Rs. 3000 less than C.

    Statement II -  C’s profit is Rs. 28000 out of the total profit.

    A Only Statement I alone. Correct Answer Incorrect Answer
    B Only Statement II alone. Correct Answer Incorrect Answer
    C Both Statements I and II together. Correct Answer Incorrect Answer
    D Neither Statement I nor II is sufficient. Correct Answer Incorrect Answer
    E Either Statement I or II. Correct Answer Incorrect Answer

    Solution

    Statement - I: Let C's investment be Rs. x, then, B's investment is Rs. (x - 3000) and A's investment is Rs. (x - 5000). The total profit is divided between A, B and C at the end of the year in the ratio = (12) (x - 5000) : (10) (x - 3000) : (7) (x) T' alone is not sufficient. Statement - I: C's share out of total profit = 728000 Therefore, 'II' alone is not sufficient. Combining statements I and II; Let the investment made by C be 7xy Given, 7xy = 28000 = xy = 4000. Obviously, it is not sufficient to answer. Therefore, Both I and II are not sufficient to answer.

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