A and B are partners in a business. A contributed $\frac{1}{3}$ of the capital for 9 months and B received $\frac{2}{5}$ of the profit. For how long was B's money used in the business?
Answer & explanation
Correct answer: option 3
Investment ratio × time = Profit ratio
A B
Investment 1 : 2
9 : x
-----------------------------------------------
3 : 2
\(\frac{ 1 ×9 }{ 2 × x }\) = \(\frac{3}{2}\)
x = 3 months
So, B invested for 3 months
The correct answer is Option (3) → 3 months