Exams › SSC CGL (Prelims) › General

An 80-litre mixture contains milk and water in the ratio 7:1. Some quantity of this mixture is removed and replaced with pure milk. If the final ratio of milk to water becomes 15:1, how many litres of the mixture were replaced?

1. 40 litres
2. 18 litres
3. 32 litres
4. 46 litres

Correct answer: 40 litres

Solution

Initially, milk = 70 L and water = 10 L. If \(x\) litres of mixture are removed, water left = \(10 - \frac{x}{8}\) and milk left = \(70 - \frac{7x}{8}\); then \(x\) litres of pure milk are added. The final ratio becomes 15:1, which gives \(x=40\).

Related SSC CGL (Prelims) General questions

• From a 54-litre container of pure milk, 9 litres are removed and replaced by water. This process is repeated three times in total. What is the final quantity of milk left in the container?
• An 84-litre mixture has milk and water in the ratio 5:2. If 21 litres of the mixture is removed and 12 litres of pure milk is added, what is the new ratio of milk to water?
• Four varieties of wheat costing ₹30/kg, ₹45/kg, ₹60/kg, and an unknown price are mixed in the ratio 1:2:3:4. The mixture is sold at ₹46/kg with 15% profit. What is the cost of the fourth variety?
• Three types of grain costing ₹50/kg, ₹70/kg, and an unknown price are mixed in the ratio 2:3:2. If the mixture is sold at ₹64/kg with 20% profit, what is the price of the third variety?
• A 50-litre mixture of oil and water has 16% water. How many litres of oil must be added to make the water content 10%?
• Two containers of the same volume are 35% and 60% full of water respectively. They are then completely filled with milk. After mixing the contents of the larger vessel, what percentage of the mixture is milk?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →