A vessel contains some mixture of Water and Alcohol in the ratio 2 ∶ 1. 12 liters of mixture is removed and replaced with water and the final ratio becomes 4: 1. What is the amount of Alcohol in the initial Mixture?

A container contains a mixture of two liquids, A and B, in the proportion 7 : 5. If 9 liters of the mixture is replaced by 9 liters of liquid B, then the ratio of the two liquids becomes 7 : 9. How much of liquid A was there in the container initially?

6 kg sugar costing Rs. 10/kg is mixed with 4 kg sugar costing Rs. 15/kg. What is the average cost of the mixture per kilogram?

A mixture of milk and water contains 75% milk. If 8 liters of the mixture is taken out and 7 liters of milk is added, the ratio of milk to water becomes 7 : 2. Find the volume of the initial mixture.

Wheat costing Rs. 30/kg, Rs. 35/kg and a third variety of wheat are mixed in the ratio of 3 ∶ 4 ∶ 2. If the mixture costs Rs. 34/kg, then what will be the cost (in Rs./kg) of the third variety of wheat?

In a bag there are coins of ₹2, ₹5 and ₹10 denominations. The total number of coins in the bag is 300. If the number of coins of ₹2, ₹5 and ₹10 denominations are in the ratio of 1:2:3, then what is the total amount of money in the bag?

Two equal glasses filled with mixture of milk and water in the proportions of 2 : 1 and 1 : 1 respectively are emptied into a third glass. What is the proportion of milk and water in the third glass?

In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy the same elements are in the ratio 2 : 3. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in ratio 5 : 8?