A tank has a leak which would empty the completely filled

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A tank has a leak which would empty the completely filled tank in 10 hours. If the tank is full of water and a tap is opened which admits 4 litres of water per minute in the tank, the leak takes 15 hours to empty the tank. How many litres of water does the tank hold ?

1. 2400 l
2. 4500 l
3. 1200 l
4. 7200 l

Correct Option: D

Let the capacity of the tank = q litres
According to the question,
Quantity of water emptied by the leak in 1 hour = q /10 litres
Qunatity of water filled by the tap in 1 hour = 240 litres
According to the question ,

⇒	q	-	q	= 240
	10		15

⇒	3q - 2q	= 240
	30

⇒	q	= 240
	30

⇒ q = 240 × 30 = 7200 litres