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    Question

    Rohan, Arjun, and Kavita started a business by investing

    Rs. 3,000, Rs. 3,600, and Rs. 2,400, respectively. After 6 months, Arjun decreased his investment by Rs. _____. If the annual profit from the business is Rs. 1,15,480, then Kavita’s profit share will be Rs. ______. The values in which of the following options will fill the blanks in the same order to make the statement true: I. 600, 31,856.5 II. 900, 33420 III. 1500, 34480.5
    A Only I Correct Answer Incorrect Answer
    B Only I and II Correct Answer Incorrect Answer
    C All I, II and III Correct Answer Incorrect Answer
    D Only II and III Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    For I: The ratio of profits received by Rohan, Arjun, and Kavita = (3000 × 12):{(3600 × 6) + (3000 × 6)}:(2400 × 12) = 10:11:8 Therefore, the profit share of Kavita = 115480 × (8/29) = Rs. 31,856.5 Therefore, I is true. For II: The ratio of profits received by Rohan, Arjun, and Kavita = (3000 × 12):{(3600 × 6) + (2700 × 6)}:(2400 × 12) = 20: 21: 16 Therefore, the profit share of Kavita = 115480 × (16/57) = Rs. 32,415.4 Therefore, II is false. For III: The ratio of profits received by Rohan, Arjun, and Kavita = (3000 × 12):{(3600 × 6) + (2100 × 6)}:(2400 × 12) = 20: 19: 16 Therefore, the profit share of Kavita = 115480 × (16/55) = Rs. 33,594 Therefore, III is false.

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