WBCS Mains 2019 Official Paper-VI

In a business, P invests $\text{Rs. }12,000$. After some days, Q joins the business with an investment of $\text{Rs. }16,000$. If P and Q receive an equal share of the profit $9\text{ months}$ after Q joined, find the total duration for which P's capital remained invested.

P starts a business with a capital of $\text{Rs. }5000$. After $3\text{ months}$, Q joins with a capital of $\text{Rs. }6000$ and $5\text{ months}$ from the start, R invests $\text{Rs. }8000$. If the total profit at the end of the year is $\text{Rs. }3400$, calculate the amount that each will receive.

S and T start a business with investments of $\text{Rs. }2400$ and $\text{Rs. }1600$ respectively. After one year, if S suffers a financial loss of $\text{Rs. }45$, find the loss incurred by T.

P and Q start a joint business. P invests $\text{Rs. }500$ for $9\text{ months}$ and Q invests a certain sum for $6\text{ months}$. If the total profit made is $\text{Rs. }69$ and Q's share of the profit is $\text{Rs. }46$, find the capital amount invested by Q.

In a joint business, the ratio of the capitals of three partners is $5:7:9$. If the total profit earned in the business is $\text{Rs. }420$, find the share of the third partner.