A, B & C started a business with investments of Rs. $40,500$ , Rs $45,000$ , Rs. $60,000$ respectively. C taken back Rs. $15,000$ after $6$ months whereas A invested more Rs. $4500$. How much more will get C than A from the annual profit of Rs. $56,100$?

Water flows into a tank which is $200$m long and $150$m wide, through a pipe of cross-section $0.3$m  \( \times \) $0.2$m at $20$km/hour. Then the time (in hours) for the water level in the tank to reach $8$m is-

Tap X is $\frac{1}{3}rd$ more efficient than tap Y. Tap Z can empty the tank at rate $40 liter/hour$. If initially, tap X and Y are opened for $1\frac{6}{7} hours$, then the tank is filled $10 liters$ more than $\frac{3}{4}th$ of its capacity. After that, tap Z also opened, then the tank is filled in $1 hour$. What time does tap Z take to empty the full tank?

Two different pumps A and B are filling a tank together. Pump A can fill the tank through a pipe which has a diameter of $7 \mathrm{cm}$ and has a rate of flow of water of $10 \mathrm{cm}/\sec .$ Another Pump B can fill the tank through a pipe which has a diameter of $8.4 \mathrm{cm}$ and has a rate of flow of water of $50 \mathrm{cm}/\sec .$ If the capacity of the tank is $9471$ litres, then in how many hours the tank will be filled?

Two pipe P and Q can fill a tank in $\frac{1}{5}$ hr and $\frac{4}{15}$ hr respectively. Both pipes are opened simultaneously but due to some malfunction, both pipes flow with $\frac{1}{8}$ th and $\frac{1}{6}$ th  lesser than their full flow. After $\frac{1}{20}$ hr malfunction is solved. How long it would take to fill the tank (in hours)?