Multiple choice

A, B and C enter into a partnership such that C invests 40\% of the capital for one fourth of the time, B invests 25\% of the capital for 75\% of the time and A invests the rest of the capital for the whole time. If A's share of profit is Rs. 44520, then find the difference between B's share and C's share (in rupees).

  1. 11100

  2. 12230

  3. 13420

  4. 11130
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let total capital be 100. A invests 35% for 12 months, B invests 25% for 9 months, C invests 40% for 3 months. Profit ratio: A:B:C = 35×12 : 25×9 : 40×3 = 420:225:120 = 84:45:24 = 28:15:8. Total = 51 parts. A's share (28 parts) = Rs.44520, so 1 part = 1590. B - C = 15 - 8 = 7 parts = 7×1590 = 11130.

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