Practicing Success
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 (₹60 per litre), a profit of 20% was made, then the amount of pure milk in the mixture is: |
5 litres 10 litres 20 litres 25 litres |
25 litres |
Let the amount of pure milk be x litres then cost of milk = 60 x After adding 5 liters of water = x + 5 litres Selling price of mixture @ 60(x+5) = 60x + 300 gain = 300, gain % = 20 $C.P=(\frac{100}{100+gain %}).S.P$ $⇒60x=(\frac{100}{100+20}).(60x+300)$ $⇒60x=\frac{100}{120}×(60x+300)$ ⇒ 60x + 300 = 72x ⇒ 12x = 300 ⇒ x = $\frac{300}{12}$ = 25 litres |