Multiple choice

In a partnership business, A invests (\frac{1}{6})th of the total investment for (\frac{1}{6}) of the total time, B invests (\frac{1}{4}) of the total investment for (\frac{1}{4}) of the total time and C, the rest of the investment for the whole time. Out of a profit of Rs. 24,735, C’s share is

  1. 24220

  2. 22240

  3. 21420

  4. 23460

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

A invests (1/6)(1/6) = 1/36, B invests (1/4)(1/4) = 1/16. C invests rest: 1 - 1/36 - 1/16 = 7/12 for full time. Ratio of investments: A:B:C = 1/36:1/16:7/12 = 4:9:84. C's share = (84/97)×24735 = Rs. 21420.