Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 121 · 40 questions

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

1. 1.A grocer mixes 8 kg of tea at ₹63 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
2. 2.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
3. 3.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
4. 4.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
5. 5.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
6. 6.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
7. 7.A grocer mixes 5 kg of tea at ₹60 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
8. 8.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
9. 9.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
10. 10.Rice at ₹60 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
11. 11.A grocer mixes 8 kg of tea at ₹70 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
12. 12.A grocer mixes 3 kg of tea at ₹25 per kg with 9 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
13. 13.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
14. 14.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
15. 15.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
16. 16.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
17. 17.A grocer mixes 12 kg of tea at ₹73 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
18. 18.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
19. 19.Rice at ₹47 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
20. 20.A grocer mixes 6 kg of tea at ₹105 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
21. 21.A grocer mixes 9 kg of tea at ₹38 per kg with 6 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
22. 22.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
23. 23.Rice at ₹53 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
24. 24.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
25. 25.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
26. 26.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
27. 27.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
28. 28.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
29. 29.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
30. 30.Rice at ₹75 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
31. 31.A grocer mixes 7 kg of tea at ₹65 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
32. 32.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
33. 33.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
34. 34.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
35. 35.A grocer mixes 10 kg of tea at ₹25 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
36. 36.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
37. 37.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
38. 38.A jug has 40 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
39. 39.A jug has 40 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
40. 40.A grocer mixes 7 kg of tea at ₹47 per kg with 7 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?

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