1. A mixture contains liquid A and liquid B in the ratio of 5 : 4. If 2 litres of liquid B is added to it, then the ratio of liquid A and liquid B becomes 7 : 6. What is the quantity (in litres) of liquid A in the mixture?

2. A mixture of wine and water contains 80% wine. In 50 liters of such a mixture, how many liters of water are required to increase the percentage of water to 50%?

3. The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

4. A 24 liters of cough syrup and water mixture contains cough syrup and water in the ratio 3 : 5. What liters of the mixture should be taken out and replaced with pure cough syrup so that the final mixture contains syrup and water in equal proportions?

5. To get the profit of 25%, trader prepare the mixture of two different quality of wheat A and B of price per kg Rs.50 and Rs.30 respectively. If the ratio of A and B is 2 ∶ 3 in 1 kg, what is the selling price per kg of prepared mixture?

6. Rahul adds 2 litres of alcohol in 6 litres of water and Dinesh adds 1 litre of alcohol in 9 litres of water. What is the ratio of the percentage of alcohol in the two mixtures?

7. An alloy is made by mixing metal A costing Rs. 2000/kg and metal B costing Rs. 400/kg in the ratio A ∶ B = 3 ∶ 1. What is the cost (in Rs.) of 8 kilograms of this alloy?

8. Two mixtures have milk and water in the ratio 6 : 5 and 7 : 4. In what ratio should they be mixed so that ratio in final mixture becomes 7 : 5?

9. Three cans A, B and C are having mixtures of syrup and water in the ratio 1 ∶ 5 , 3 ∶ 5 and 5 ∶ 7 respectively. If the capacities of the cans are in the ratio 5 ∶ 4 ∶ 5, then find the ratio of syrup to water, if the mixtures of all the three cans are mixed together.

10. The amount of alcohol in two varieties of whiskey are 27% volume/volume and 42% volume/volume. In what ratio should they be mixed so that the mixture has 33% volume/volume alcohol?

11. In 1 kg mixture of sand and iron, 23% is iron. How much sand should be added so that the proportion of iron becomes 13%

12. Two vessels A and B contain alcohol and water in the ratio 7 : 5 and 17 : 7 respectively. In what ratio should the mixtures from two vessels A and B be mixed to get a new mixture containing alcohol and water in the ratio 5 : 3?

13. In an alloy, lead and tin are in the ratio of 2 : 3. In the second alloy, the ratio of same elements is 3 : 4. If equal quantities of these two alloy are mixed to form a new alloy, then what will be the ratio of these two elements in the new alloy?

14. A butler stole wine from a bottle of Sherry which contained 18% of spirit and he replaced what he had stolen by wine containing only 8% spirit. The bottle was then 14% spirit strength only. How much of the bottle did he steal?

15. What quantity of water should be added to 5 L of 20% solution of salt, so that it becomes a 10% salt solution?