1. How many litres of water should be added to a 30 litre mixture of milk and water containing milk and water in the ratio of 7 : 3 such that the resultant mixture has 40% water in it?"

2. A vessel is filled with liquid, 3/8th parts of which are water and 5/8th parts syrup. What part of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup?

3. A can contains a mixture of two liquids A and B in the ratio 7:5 when 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7:9. How many litres of liquid A was contained by the can initially?

4. 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?

5. Bikash bought 80 kg of sugar at Rs 13.50/kg and mixed it with 120 kg sugar at Rs 16/kg. If he wants to make a profit of 16% what rate should he sell the sugar to his customers?

6. Nehal bought two varieties of rice, costing 5 Rs per kg and 6 Rs per kg each, and mixed them in some ratio. Then he sold the mixture at 7 Rs per kg , making a profit of 20 percent. What was the ratio of the mixture?

7. How much water must be added to 60 litres of milk at 1.5 litres for Rs. 20 So as to have a mixture 2 worth Rs.10 2/3 a litre? 3

8. Three types of wheat of Rs. 1.27, Rs. 1.29 and Rs. 1.32 per kg are mixed together to be sold at Rs. 1.30 per kg. In what ratio should this wheat be mixed?

9. In what ratio must rice at Rs 9.30 per Kg be mixed with rice at Rs 10.80 per Kg so that the mixture be worth Rs 10 per Kg?

10. 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 container so as to get 12 litres of milk such that the ratio of water to milk is 3:5?

11. A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x?

12. 3 math Companies: X,Y and Z, take an survey on employee performance. The average performance in Company X is 83.The average performance in Company Y is 76.The average performance in Company Z is 85.The average performance of all employees in companies X and Y together is 79.The average performance of all employees in Company Y and Z together is 81.What is the average performance of all employee of Company?

13. 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?

14. In what proportion must rice at Rs. 3.10 per kg be mixed with rice at Rs. 3.60 per kg so that the mixture be worth Rs. 3.25 per kg?

15. The ratio, in which tea costing Rs. 192 per kg is to be mixed with tea costing Rs. 150 per kg so that the mixed tea when sold for Rs. 194.40 per kg, gives a profit of 20%.

16. 8 litres are drawn from a cask filled with 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 total solution is 16:81.How much wine did the cask hold originally?

17. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

18. A 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2. 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more.At the end of the two removals and replacement, what is the ratio of milk and water in the resultant mixture?

19. One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8:7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?

20. In a zoo, there are Cows and Parrots. If heads are counted, there are 200 and if legs are counted, there are 580. How many Parrots are there? e-

21. In what ratio must tea at Rs. 62 per Kg be mixed with tea at Rs. 72 per Kg so that the mixture must be worth Rs. 64.50 per Kg?

22. How many kgs of Basmati rice costing Rs.42/kg should a shopkeeper mix with 25 kgs of ordinary rice costing Rs.24 per kg so that he makes a profit of 25% on selling the mixture at Rs.40/kg?

23. In what ratio must wheat at Rs.3.20 per kg be mixed with wheat at Rs.2.90 per kg so that the mixture be worth Rs.3.08 per kg?

24. A shopkeeper purchased 80 kg of atta at Rs.13.50 per kg and mixed it with 120kg atta at Rs.16per kg. For what rupee should he sell the mixer to profit 16%?

25. In a 729 litres mixture of milk and water, the ratio of milk to water is 7:2.To get a new mixture containing milk and water in the ratio 7:3, the amount of water to be added is: