Question : In a mixture, water and milk are in the ratio of 2 : 3. What is the amount of water that is to be added to 20 kg of this mixture to make the ratio of water and milk in the new mixture 1 : 1?
Option 1: 3 kg
Option 2: 2 kg
Option 3: 4 kg
Option 4: 5 kg
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Correct Answer: 4 kg
Solution : In the original mixture, the ratio of water to milk is 2 : 3. This means that out of every 5 parts of the mixture, 2 parts are water and 3 parts are milk. In a 20 kg mixture, the amount of water is $\frac{2}{5}$ × 20 = 8 kg, and the amount of milk is $\frac{3}{5}$ × 20 = 12 kg Some amount of water is to be added so that this mixture contains water and milk in the ratio of 1 : 1. This means the amount of water should be equal to the amount of milk = 12 kg Therefore, the required amount of water in the mixture = 12 kg – 8 kg = 4 kg Hence, the correct answer is 4 kg.
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Question : A bottle holds 8 litres of a mixture of milk and water in a ratio of 3 : 1. 3 litres of water is added to the given mixture. Find the new ratio of milk and water in the mixture.
Option 1: 3 : 2
Option 2: 1 : 3
Option 3: 2 : 3
Option 4: 6 : 5
Question : A mixture contains milk and water in a ratio of 9 : 5. When 6 litres of water is added to this mixture, the ratio of milk and water becomes 9 : 7. Find the quantity of milk in the mixture.
Option 1: 30 litres
Option 2: 18 litres
Option 3: 27 litres
Option 4: 15 litres
Question : In a 255-litre mixture of milk and water, the ratio of milk and water is 4 : 1. Find the quantity of water required to make the ratio of milk and water 4 : 3.
Option 1: 94 litres
Option 2: 51 litres
Option 3: 102 litres
Option 4: 55 litres
Question : 470 litres of a mixture of milk and water contains 5% of water. A mischievous boy added some water in the mixture and now there is 6% water in the new mixture. Find the quantity of water added by the boy in the mixture.
Option 1: 6 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Question : A certain quantity of water is mixed with milk price at Rs. 48 per litre. The price of the mixture is Rs. 30 per litre. The ratio of water and milk in the new mixture:(water is available free of cost)
Option 2: 3 : 5
Option 4: 2 : 5
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