A and B are partners in a business. A contributes \(\frac{4}{9}\) of the capital for 15 months and B received \(\frac{5}{11}\) of the profit. For how long B's money was used?

10 months

                  A                     B             Total

Capital        4                     5         ⇒       9

Time           15                    x

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Profit           6                    5         ⇒       11

 Now, ATQ

\(\frac{4 × 15}{5 × x}\) = \(\frac{6}{5}\)             (*Profit ratio = Inv. ratio × time ratio)

x = 10 

x = 10 months