The ratio of investment of A and B is 15 : 22 and the ratio of their profit at the end of the year is 3 : 11 . If A invested the money for 2 months, then for how much time (in months) B invested his money?
Answer & explanation
Correct answer: option 3
A : B
Inv. Ratio ⇒ 15 : 22
Profit Ratio ⇒ 3 : 11
Time Ratio ⇒ \(\frac{3}{15}\) : \(\frac{11}{22}\)
⇒ \(\frac{1}{5}\) : \(\frac{1}{2}\)
⇒ 2 : 5
Here,
According to the ratio, A invests his capital for 2 months (given), then B invest his capital for 5 months.
[*Time Ratio = \(\frac{Profit\;ratio}{Inv.\;ratio}\)]