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    Question

    ‘A’, ‘B’ and ‘C’ started a business by investing Rs. 3,000, Rs. 3,600 and Rs. 2,400, respectively. After 6 months, ‘B’ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 1,64,430, then the profit share of ‘C’ will be Rs. ______.

    The values given in which of the following options will fill the blanks in the same order in which it is given to make the statement true:

    I. 600, 45360

    II. 1200, 47040

    III. 1800, 48620

    A Only I follows Correct Answer Incorrect Answer
    B Only III and II follows Correct Answer Incorrect Answer
    C Only I and II follows Correct Answer Incorrect Answer
    D Only I and III follows Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    For I: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (3000 × 12):{(3600 × 6) + (3000 × 6)}:(2400 × 12) = 10:11:8 Therefore, profit share of ‘C’ = 164430 × (8/29) = Rs. 45,360 Therefore, I is true. For II: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (3000 × 12):{(3600 × 6) + (2400 × 6)}:(2400 × 12) = 5:5:4 Therefore, profit share of ‘C’ = 164430 × (4/14) = Rs. 47,040 Therefore, II is true. For III: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (3000 × 12):{(3600 × 6) + (1800 × 6)}:(2400 × 12) = 10:9:8 Therefore, profit share of ‘C’ = 164430 × (8/27) = Rs. 48,520 Therefore, III is false. Hence, Only I and II follows

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