A, B and C started a business by investing in the ratio 4 : 3 : 2. At the end of the year the profit earned was distributed among them in the ratio 8 : 9 : 10. Find the ratio of the durations of their investment.
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2 : 3 : 5
In a partnership, profit is shared in the ratio of capital × time. So each partner’s time is his share of profit divided by his share of capital.
A’s time: \(\displaystyle\frac{8}{4}=2\)
B’s time: \(\displaystyle\frac{9}{3}=3\)
C’s time: \(\displaystyle\frac{10}{2}=5\)