The price of a variety of a commodity is ₹7/kg and that of another is ₹12/kg. Find the ratio in which two varieties should be mixed so that the price of the mixture is ₹10/kg.

In what ratio should sugar costing ₹40 per kg be mixed with sugar costing ₹48 per kg, so as to earn a profit of 20% by selling the mixture at ₹54 per kg?

If a 50 liters mixture of milk and water is in the ratio of 3 : 2. After removal of 10 liters mixture, 12 liters milk and 12 liters water is added into the mixture. Find the final ratio of water and milk in the mixture.

There is 40% sugar in 3 liters of sugar solution, what percentage of sugar will be in the new solution if one liter of water is added to this solution?

Rajesh purchased two different kinds of alcohol. In the first mixture, the ratio of alcohol to water is 4 : 5 and in second mixture it is 6 : 7. If he mixes the two given mixtures and makes a third mixture of 22 litres in which the ratio of alcohol to water is 5 : 6, the quantity of first mixture that is required to make 22 litres of the third kind of mixture is.

50 grams of an alloy of gold and silver contains 80% gold by weight, how much more gold should be mixed in this metal so that the alloy contains 95% gold?

How many grams of water should be mixed in 9 grams of shaving lotion having 50% alcohol content so that the alcohol content in the lotion becomes 30%?

40 litres of milk are kept in a container. 4 litres of milk were removed from this container and replaced with water. This procedure was performed two more times. How much milk does the container now hold?