A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?
Choose the correct choice from the following choices
A) 7580
B) 12960
C) 8290
D) 8640
E) None
Solution   Work done by the inlet in 1 hour	= (1/9 - 1/12)   = 1/36   Work done by the inlet in 1 min.	= (1/36 × 1/60)   = 0.000463   Volume of 0.000463 part = 6 litres.   Therefore, Volume of whole	= 1/0.000463 x6   ‹=› 12960 litres.   Answer 12960
<result>B</result>
A leak in the bottom of a tank can empty the full tank in 9 hours. An inlet pipe fills water at the rate of 6 litres a minute. When the tank is full, the inlet is opened and due to the leak, the tank is empty in 12 hours. How many litres does the cistern hold?