Question 94

P and Q enter into a partnership with capitals in the ratio 9:7. At the end of 8 months Q withdrewhis capital from the business. If they received profits in the ratio 9:4, the time (in months) P’s capital remained, is

Solution

The partnership ratio of P and Q $$=9:7$$

As per the question, at the end of the 8 months, Q withdraw his amount,

The ratio in the profit is given as 9:4

So, we know that profit sharing ratio $$=\dfrac{C_P\times T_P}{C_Q\times T_Q}$$

$$\Rightarrow \dfrac{9}{4}=\dfrac{9\times T_P}{7\times 8}$$

$$\Rightarrow \dfrac{9}{4}=\dfrac{9\times T_P}{56}$$

$$T_P=\dfrac{56}{4}=14$$

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