‘A’, ‘B’ and ‘C’ started a business by investing Rs. 5,000, Rs. 6,000 and Rs. 4,000, respectively. After 6 months, ‘B’ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 2,73,050, 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. 1000, 75280

II. 2000, 78240

III. 3000, 81140

Solution

For I: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (5000 × 12):{(6000 × 6) + (5000 × 6)}:(4000 × 12) = 10:11:8 Therefore, profit share of ‘C’ = 273050 × (8/29) = Rs. 75,280 Therefore, I is true. For II: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (5000 × 12):{(6000 × 6) + (4000 × 6)}:(4000 × 12) = 5:5:4 Therefore, profit share of ‘C’ = 273050 × (4/14) = Rs. 78,240 Therefore, II is true. For III: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (5000 × 12):{(6000 × 6) + (3000 × 6)}:(4000 × 12) = 10:9:8 Therefore, profit share of ‘C’ = 273050 × (8/27) = Rs. 81,140 Therefore, III is false. Hence, Only I and II follows