Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 779 · 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 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
2. 2.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
3. 3.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
4. 4.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?
5. 5.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
6. 6.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
7. 7.A grocer mixes 5 kg of tea at ₹37 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
8. 8.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
9. 9.A grocer mixes 4 kg of tea at ₹83 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
10. 10.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
11. 11.A grocer mixes 10 kg of tea at ₹103 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
12. 12.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
13. 13.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?
14. 14.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
15. 15.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?
16. 16.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
17. 17.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
18. 18.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
19. 19.A grocer mixes 2 kg of tea at ₹85 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
20. 20.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
21. 21.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
22. 22.A grocer mixes 6 kg of tea at ₹104 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
23. 23.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
24. 24.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
25. 25.A grocer mixes 3 kg of tea at ₹90 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
26. 26.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
27. 27.A grocer mixes 10 kg of tea at ₹103 per kg with 5 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
28. 28.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
29. 29.Rice at ₹58 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
30. 30.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
31. 31.A jug has 40 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?
32. 32.A grocer mixes 11 kg of tea at ₹28 per kg with 5 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
33. 33.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?
34. 34.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
35. 35.A grocer mixes 3 kg of tea at ₹90 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
36. 36.A 15-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?
37. 37.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
38. 38.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
39. 39.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
40. 40.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

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