In a partnership, A invests one-fourth of the capital for one-third of the time, B invests one-third of the capital for one-fourth of the time and C invests the rest of the capital for the whole time. Out of a profit of Rs. 3,500, A’s share is:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Rs. 500
Profit is shared in the ratio of capital × time. C’s share of the capital is
\( \displaystyle 1 - \frac{1}{4} - \frac{1}{3} = \frac{5}{12} \)
Capital × time for each partner:
\( \displaystyle A: \frac{1}{4}\times\frac{1}{3} = \frac{1}{12},\quad B: \frac{1}{3}\times\frac{1}{4} = \frac{1}{12},\quad C: \frac{5}{12}\times 1 = \frac{5}{12} \)
So the ratio is A : B : C = 1 : 1 : 5, and A’s share is
\( \displaystyle \frac{1}{7}\times 3500 = 500 \)