Multiple choice general knowledge math & puzzles

A starts business with a capital of Rs.1000. B and C join with some investments after 3 and 6 months respectively. If at the end of a year, the profit is divided in the ratio 2:3:5. What is B's investment in the business?

  1. 1600

  2. 2000

  3. 1750

  4. 2350

  5. None

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

Using partnership profit-sharing principles, profit is distributed in proportion to capital × time. For A: 1000 × 12 = 12000. Given ratio 2:3:5, the common ratio k = 12000/2 = 6000. Then B's investment × 9 months = 3k = 18000, so B's investment = 18000/9 = Rs. 2000. C's investment would be 5k/6 = 5000. This is a standard time-weighted partnership problem.