# Alligation-Weighted Average based questions

Following are 10-questions based on weighted average and alligation! All the best! ðŸ™‚

1. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

2. In what ratio must a grocer mix two varieties of rice costing Rs. 20 and Rs 15 per kg so as to get a mixture worth Rs. 16.50 per kg?

3. Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What will be the weight of dry grapes available from 20 kg of fresh grapes?

4. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

5. A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol was found to be 26%. The quantity of whisky replaced is:

6. In what ratio must a grocer mix two varieties of tea worth Rs. 60 a kg and Rs. 65 a kg so that by selling the mixture at Rs. 68.20 a kg he may gain 10%?

7. 8 litres are drawn from a cask full of wine and is then filled with water. This operation is performed three more times. The ratio of the quantity of wine now left in cask to that of the water is 16:65. How much wine did the cask hold originally?

8. A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container?

9. In what ratio must water be mixed with milk to gain 16.66% on selling the mixture at cost price?

10. Two vessels A and B contain milk and water mixed in the ratio 8:5 and 5:2 respectively. The ratio in which these two mixtures be mixed to get a new mixture containing Â % milk, is:

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