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    Question

    Two partners, Amit and Ben, initiated a business with

    investments of Rs. 'P + 10' and Rs. 'P,' respectively. After 'm' months, Chetan joined them with an investment equal to half of Amit's investment. If the profit shares of Amit, Ben, and Chetan after '2m' months in the partnership are in the ratio 3A: 2P: 2Q, then what is the value of P? I. (8Q/3) II. (3m + 2)/2 III. 2(P + 10)/3
    A Only II Correct Answer Incorrect Answer
    B I and II Correct Answer Incorrect Answer
    C I and III Correct Answer Incorrect Answer
    D Only I Correct Answer Incorrect Answer
    E Only III Correct Answer Incorrect Answer

    Solution

    ATQ, Investment of Amit = P + 10 Investment of Ben = P Investment of Chetna = (P + 10)/2 Then, Profit ratio, Amit: Ben: Chetna = ((P + 10) x 2m): (P x 2m): ((P + 10)/2) x m Profit ratio, Amit: Ben: Chetna = 3A: 2P: 2Q Then, ((P + 10) x 2m): (P x 2m) = 3A: 2P A = 2(P + 10)/3 And, ((P + 10) x 2m): ((P + 10)/2) x m = 3A: 2Q A = 8Q/3

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