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A profit of rupees 12300 is distributed among the three partners in the ratio 4/3:7/6:11/12. Find the share of the third partner?

A. 4200
B. 3300
C. 4600
D. None of these
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.

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