An alloy contains a mixture of two metals X and Y in the ratio of 2 : 3. The second alloy contains a mixture of the same metals, X and Y. in the ratio 7 : 3. In what ratio should the first and the second alloys be mixed so as to make a new alloy containing 50% of metal X?

A batman has a certain average of runs for 12 innings. In the 13^th inning, he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13^th inning?

A vessel contains some litres of pure milk. If 25 litre of water is added to the vessel, then ratio between milk and water becomes 12:5, 17 litres of mixture is drawn from the vessel and 10 litre of water is added to the mixture. Find the new ratio between milk and water.

In a mixture of 25 liters, the ratio of acid to water is 4 : 1. Another 3 liters of water is added to the mixture. The ratio of acid to water in the new mixture is: 

In a bag there are coins of ₹5, ₹10 and ₹20 denominations. The total number of coins in the bag is 240. If the number of coins of ₹5, ₹10 and ₹20 denominations are in the ratio of 2 : 3 : 5, then what is the total amount of money in the bag?

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel C containing spirit and water in the ratio 8:5?

A mixture contains milk and water in the ratio 5: 1. On adding 4 litres of water, the ratio of milk and water becomes 5: 2. What is the quantity of milk in the original mixture?

The ratio of milk and water in to mixtures A and B are 3:4 and 5:9 respectively. If these two mixtures are mixed in the ratio of 2:3. Then find the ratio of milk and water in the resultant mixture.