The ratio of investment of A and B is 14 : 15 and the ratio of their profit at the end of the year is 2 : 5. If A invested the money for 3 months, then for how much time (in months) B invested his money?
Answer & explanation
Correct answer: option 4
A : B
Inv. Ratio ⇒ 14 : 15
Profit Ratio ⇒ 2 : 5
Time Ratio ⇒ \(\frac{2}{14}\) : \(\frac{5}{15}\)
⇒ \(\frac{1}{7}\) : \(\frac{1}{3}\)
⇒ \(\frac{2}{14}\) : \(\frac{5}{15}\)
⇒ 3 : 7
Here,
According to the ratio, A invests his capital for 3 months (given), then B invest his capital for 7 months.