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.

Alloy A contains metals x and y only in the ratio 5: 2 and alloy B contains these metals in the ratio 3: 4. Alloy C is prepared by mixing A and B in the ratio 4: 5. The percentage of x in alloy C is:

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?

How many kg of rice costing ₹42 per kg should be mixed with$$7{1\over 2}$$ kg rice costing ₹50 per kg so that by selling the mixture at₹ 53.10 per kg, there is a gain of 18%?

A and B are solutions of acid and water. The ratio of water and acid in A and B are 4 : 5 and 1 : 2, respectively. If x literes of A is mixed with y litres of B, then the ratio of water and acid in the mixture becomes 8 : 13. What is x : y ?

How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?

If 80 litres of milk solution has 60% milk in it, then how much milk should be added to make milk 80% in the solution?

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?