Multiple choice

A and B started a business with the investments in the ratio of (9:5) respectively. After 9 months from the start of the business, C joined them and the respective ratio between the investments of B and C was (3:5). If the annual profit earned by them was Rs. (6760) at the end of 15 months, then find the difference between A’s share and C’s share in total profit?

  1. 2250 Rs

  2. 1540 Rs

  3. 1235 Rs

  4. 2210 Rs

  5. 2300 Rs
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

A:B = 9:5, B:C = 3:5. Make B equal: A:B:C = 27:15:25. A invests 27x for 15 months = 405, B invests 15x for 15 months = 225, C invests 25x for 6 months (joined after 9 months) = 150. Ratio of profit shares: 405:225:150 = 27:15:10. Total = 52. A's share = (27/52) × 6760 = 3510, C's share = (10/52) × 6760 = 1300. Difference = 3510 - 1300 = 2210.

Keep practicing — related questions