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

                Akshay            Sunil             Total

Capital        1                     5         ⇒       6

Time           15                   x

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Profit           3                    2         ⇒       5

Now, ATQ

\(\frac{1 × 15}{5 × x}\) = \(\frac{3}{2}\)

x = \(\frac{15 × 2 }{3 × 5}\)

x = 2 months