Multiple choice

A and B start a business by investing in the ratio 3 : 4. After 6 month C and D joined them by investing 25% more than B and 25% less than B respectively. If at the end of 2 years total profit of 20800 was generated. Find share of B.

  1. 6000 Rs

  2. 5850 Rs

  3. 6250 Rs

  4. 6400 Rs

  5. None of these

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

Profit sharing is based on investment × time. Let B's investment = 4x. A = 3x for 24 months = 72x. B = 4x for 24 months = 96x. C = 1.25×4x = 5x for 18 months = 90x. D = 0.75×4x = 3x for 18 months = 54x. Total = 72+96+90+54 = 312. B's share = (96/312)×20800 = 6400.