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
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 $$=\dfrac{C_P\times T_P}{C_Q\times T_Q}$$
$$\Rightarrow \dfrac{9}{4}=\dfrac{9\times T_P}{7\times 8}$$
$$\Rightarrow \dfrac{9}{4}=\dfrac{9\times T_P}{56}$$
$$T_P=\dfrac{56}{4}=14$$
Create a FREE account and get: