A leak in the bottom of a tank can empty the full tank in 7 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?
Select the correct option: A) 7580 B) 7960 C) 8290 D) 6048 E) None
Solution   Work done by the inlet in 1 hour	= (1/7 - 1/12)   = 5/84   Work done by the inlet in 1 min.	= (5/84 × 1/60)   = 0.000992   Volume of 0.000992 part = 6 litres.   Therefore, Volume of whole	= ((1/0.000992)×6)   ‹=› 6048 litres.   Answer 6048
<result>D</result>
A leak in the bottom of a tank can empty the full tank in 7 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?