WBCS Mains 2019 Official Paper-VI

In a joint business, X invests $\text{Rs. }6000$ for $9\text{ months}$ and Y invests $\text{Rs. }8000$ for a certain number of months. If they receive $\text{Rs. }1800$ and $\text{Rs. }1600$ respectively as profit, find the duration for which Y's capital was invested.

In a joint business, the capitals of A and B are in the ratio $3:4$ and the capitals of B and C are in the ratio $6:5$. If A receives a profit share of $\text{Rs. }450$, find the profit share of C.

In a joint business, the capitals of P, Q and R are in the fractional ratio $\frac{1}{4}:\frac{1}{3}:\frac{1}{2}$. At the end of the year, they make a total profit of $\text{Rs. }3900$. Find the profit share received by R.

M and N can finish a piece of work in $15$ and $20\text{ days}$ respectively. If they complete the entire work working together, find the ratio of their income shares.

If $36\text{ bighas}$ of land can be irrigated in $16\text{ days}$ by a well-pump working $15\text{ hours}$ a day, how many days will it take to irrigate $42\text{ bighas}$ of land using the same pump if it works $10\text{ hours}$ a day?