‘A’, ‘B’ and ‘C’ started a business by investing Rs. 4,000, Rs. 4,800 and Rs. 3,200, respectively. After 6 months, ‘B’ decreased his investment by Rs. _____. If the annual profit received from the business is Rs. 2,19,240, 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. 800, 60480

II. 1600, 62840

III. 2400, 65060

Solution

For I: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (4000 × 12):{(4800 × 6) + (4000 × 6)}:(3200 × 12) = 10:11:8 Therefore, profit share of ‘C’ = 219240 × (8/29) = Rs. 60,480 Therefore, I is true. For II: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (4000 × 12):{(4800 × 6) + (3200 × 6)}:(3200 × 12) = 5:5:4 Therefore, profit share of ‘C’ = 219240 × (4/14) = Rs. 62,840 Therefore, II is true. For III: Ratio of the profits received by ‘A’, ‘B’ and ‘C’ = (4000 × 12):{(4800 × 6) + (2400 × 6)}:(3200 × 12) = 10:9:8 Therefore, profit share of ‘C’ = 219240 × (8/27) = Rs. 65,060 Therefore, III is false. Hence, Only I and II follows