Correct Answer:
B. 3300
To find the share of the third partner, first simplify the given ratio 4/3:7/6:11/12. The least common multiple (LCM) of the denominators (3, 6, 12) is 12. Multiplying each fraction by 12 gives us the simplified ratio: (4/3)*12 : (7/6)*12 : (11/12)*12 = 16:14:11.
- The sum of the ratio parts is 16 + 14 + 11 = 41.
- The third partner's share is (11/41) of the total profit.
- Share = (11/41) * 12300 = 11 * 300 = 3300.
The other options are incorrect because they do not result from the correct simplification of the ratio and subsequent calculation of the third partner's share.