The ratio of investment of A and B is 16 : 21 and the ratio of their profit at the end of the year is 2 : 3 . If A invested the money for 7 months, then for how much time (in months) B invested his money ?
Answer & explanation
Correct answer: option 3
A : B
Inv. Ratio ⇒ 16 : 21
Profit Ratio ⇒ 2 : 3
Time Ratio ⇒ \(\frac{2}{16}\) : \(\frac{3}{21}\)
⇒ \(\frac{1}{8}\) : \(\frac{1}{7}\)
⇒ 7 : 8
Here,
According to the ratio, A invests his capital for 7 months (given), then B invest his capital for 8 months.
[*Time Ratio = \(\frac{Profit\;ratio}{Inv.\;ratio}\)]