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    Question

    Person P invested Rs. ___ to

    start a business. After ___ months, Person Q joined by investing Rs. 6,000. At the end of 16 months from the beginning, P’s share of the profit was Rs. 1,184 out of a total profit of Rs. 1,850. Which of the following sets of values will fill the blanks (in the same order) so that the statement becomes false? (I) 8,000, 4 (II) 6,000, 7 (III) 3,000, 10
    A Only I and II Correct Answer Incorrect Answer
    B Only I Correct Answer Incorrect Answer
    C Only I and III Correct Answer Incorrect Answer
    D Only III Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the investment of 'P' be Rs. 'x' and time after which 'Q' joined the business be 'm' months. Profit share of Q = 1,850 - 1,184 = 666 Ratio of profit share of P and Q respectively = 1,184:666 = 16:9 So, (x X 16) :[6,000 X (16 - m) = 16:9 Or, x ÷ [6,000 X (16 - m) = (1/9) Or, x ÷ (16 - m) = (2,000/3) Statement I: 8,000 ÷ (16 - 4) = (8,000/12) = (2,000/3) So, statement I is true. Statement II: 6,000 ÷ (16 - 7) = (6,000/9) = (2,000/3) So, statement II is true. Statement III: 3,000 ÷ (16 - 10) = (3,000/6) = (1,000/3) So, statement III is false. Therefore, only statement III is false.

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