Five litres of water is added to a certain quantity of pure milk, costing ₹60 per litre. If by selling the mixture at the same price as before, a profit of 20% is made, then the amount of pure milk in the mixture is :
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 25 litres
Cost of Pure Milk = Rs. 60 per litre
Let the quantity of pure milk be $x$ litre
Selling price per litre = Rs. 60
Profit percentage = $20\%$
Cost price = $60x$
Total volume = $(x+5)L$
and,
Selling price, $SP=60(x+5)$
$⇒60(x+5)=60x×\left(1+\frac{20}{100}\right)$
$⇒72x-60x=300$
$⇒12x=300$
$⇒x=\frac{300}{12}=25$ litres