Question

A, B and C started a business by investing 1/2, 1/3rd and 1/6th of the capital respectively. After 1/3rd of the total time, A withdrew his capital completely and after 1/4th of the total time B withdrew his capital. C kept his capital for the full period. The ratio in which total profit is to be divided amongst the partners is

• A. 1 : 2 : 1
• B. 4 : 1 : 4
• C. 2 : 1 : 2
• D. 1 : 2 : 2

Hint:

Each partner's profit share is proportional to capital invested multiplied by the time that capital stayed in the business.

Answer 1

The Correct Option is C

Using symbols C,T: A=(C/2)(T/3)=CT/6, B=(C/3)(T/4)=CT/12, C=(C/6)(T)=CT/6. Ratio 1/6:1/12:1/6 -> multiply by 12 -> 2:1:2.

Final Answer: 2:1:2, option (3).