A and B invested a sum of money in the ratio of 3 : 5. After a few months, A withdrew and collected back his money. At the end of the year, they received profit in the ratio of 2 : 5. After how many months A withdrew his money?
Answer & explanation
Correct answer: option 3
A : B
Inv. ratio → 3 : 5
Time → t : 12
Profit → 2 : 5 (given)
Here,
(Profit = Inv. × time)
⇒ \(\frac{2}{5}\) = \(\frac{3\;×\;t}{5\;×\;12}\)
⇒ 3 t = 24
⇒ t = 8
Hence, A invest his capital for 8 months,
So, A withdrew after = 8 Months