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?
Answer & explanation
Correct answer: option 1
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