In a partnership business, A and B invested in the ratio of 5 : 6. At the end of 8 months A withdrew his capital. If they shared the eventual profit in the ratio of 5 : 9, then what is the number of months for which B invested his capital?
Answer & explanation
Correct answer: option 3
The ratio of capital of A and B = 5 : 6
A's time = 8 months
A's profit : B's profit = 5 : 9 .........(i)
According to the question,
A's profit : B's profit = 5 × 8 : 6 × t = 40 : 6t = 20 : 3t ........(ii)
*(Profit ratio = Investment ratio × time ratio)
Now, from eq. (i) and (ii),we get
⇒ 5 : 9 = 20 : 3t
⇒ t = (180)/(15)
⇒ t = 12