Akshay and Sunil are partners in a business. Akshay contributes \(\frac{1}{6}\) of the capital for 15 months and Sunil received \(\frac{2}{5}\) of the profit. For how long Sunil's money was used?

2 months

Let the total capital = 6 and total profit = 5

Now, ATQ

                   Akshay         Sunil

Capital    ⇒      1        :       5   ⇒ 6

Profit      ⇒       3       :        2   ⇒ 5

Time       ⇒      \(\frac{3}{1}\)       :        \(\frac{2}{5}\)

           ⇒         15      :        2

                        ↓                 ↓

                      15 mnt         2 months

                     (given)