A and B entered into a partnership with investments in the ratio 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 2 : 5. After how many months did A withdraw?
Answer & explanation
Correct answer: option 3
A and B investments ratio = 3 ∶ 5.
Profit share ratio = 2 : 5
Let A invest for x months
According to the question,
\(\frac{(3 × x)}{ 5 × 12}\) = \(\frac{(2)}{ 5}\)
⇒ \(\frac{(3x)}{ 60}\) = \(\frac{(2)}{ 5}\)
⇒ 15x = 120
⇒ x = 8
So, A invested for 8 months