Question
‘A’, ‘B’ and ‘C’ started a business by
investing Rs. 2,500, Rs. 3,000 and Rs. 2,000, respectively. After 6 months, ‘B’ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 1,36,950, 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. 500, 37800 II. 1000, 39200 III. 1500, 40550Solution
For I: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (2500 × 12):{(3000 × 6) + (2500 × 6)}:(2000 × 12) = 10:11:8 Therefore, profit share of ‘C’ = 136950 × (8/29) = Rs. 37,800 Therefore, I is true. For II: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (2500 × 12):{(3000 × 6) + (2000 × 6)}:(2000 × 12) = 5:5:4 Therefore, profit share of ‘C’ = 136950 × (4/14) = Rs. 39,200 Therefore, II is true. For III: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (2500 × 12):{(3000 × 6) + (1500 × 6)}:(2000 × 12) = 10:9:8 Therefore, profit share of ‘C’ = 136950 × (8/27) = Rs. 40,550 Therefore, III is false. Hence, Only I and II follows
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