Pure milk costs ₹72 per litre. A milkman adds water to 25 litres of pure milk and sells the mixture at ₹60 per litre. How many litres of water does he add ?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 5 litres
Cost of pure milk = ₹72 per litre
Quantity of pure milk = 25 litre
Selling price of the mixture = ₹60 per liter
let total quantity of water be x litre.
Total quantity of water = $(25+x)L$
Average cost price of mixture is,
$\frac{\text{Total cost of milk}}{\text{Total quantity of mixture}}=60$
$=\frac{72×25}{25+x}=60$
$⇒1800=60(25+x)$
$⇒300=60x$
$⇒x=\frac{300}{60}=5L$