Three partners A, B and C entered into a business. A invested one-third of the capital for one-third duration. B invested one-fourth of the capital for one-fourth duration. C invested the remaining capital for the whole duration. Out of a profit of ₹17,000, how much profit will C get?

Let total capital = 1 and total time = 1. A's investment-time product = (1/3)×(1/3) = 1/9. B's investment-time product = (1/4)×(1/4) = 1/16. C's capital share = 1 − 1/3 − 1/4 = 5/12, and C invested for the whole duration (time = 1), so C's product = 5/12 × 1 = 5/12. The ratio A:B:C = 1/9 : 1/16 : 5/12. Taking LCM 144: A = 16, B = 9, C = 60. Total = 85. C's share = (60/85) × 17000 = 12000. Hence C gets ₹12,000.