Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 905 · 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 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?
2. 2.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 2 : 5?
3. 3.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
4. 4.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
5. 5.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
6. 6.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 4 : 9?
7. 7.Rice at ₹48 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
8. 8.A grocer mixes 4 kg of tea at ₹44 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
9. 9.A grocer mixes 4 kg of tea at ₹24 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
10. 10.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
11. 11.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
12. 12.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
13. 13.A jug has 20 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?
14. 14.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
15. 15.Rice at ₹79 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
16. 16.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?
17. 17.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
18. 18.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
19. 19.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
20. 20.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
21. 21.A grocer mixes 4 kg of tea at ₹78 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
22. 22.A grocer mixes 9 kg of tea at ₹58 per kg with 9 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
23. 23.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 1 : 2?
24. 24.A 18-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?
25. 25.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
26. 26.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
27. 27.A grocer mixes 8 kg of tea at ₹57 per kg with 5 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
28. 28.Rice at ₹77 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
29. 29.A 18-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?
30. 30.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 : 2?
31. 31.Rice at ₹54 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
32. 32.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
33. 33.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
34. 34.A jug has 10 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?
35. 35.Rice at ₹73 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
36. 36.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
37. 37.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 : 6?
38. 38.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
39. 39.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
40. 40.Rice at ₹47 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

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