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?

7

                            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.