Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 349 · 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 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
2. 2.A jug has 50 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?
3. 3.Rice at ₹36 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
4. 4.A grocer mixes 12 kg of tea at ₹23 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
5. 5.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
6. 6.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?
7. 7.A grocer mixes 9 kg of tea at ₹90 per kg with 9 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
8. 8.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
9. 9.A grocer mixes 4 kg of tea at ₹104 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
10. 10.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
11. 11.A grocer mixes 3 kg of tea at ₹87 per kg with 9 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
12. 12.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
13. 13.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
14. 14.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
15. 15.A grocer mixes 5 kg of tea at ₹25 per kg with 5 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
16. 16.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
17. 17.Rice at ₹66 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
18. 18.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
19. 19.Rice at ₹68 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
20. 20.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
21. 21.Rice at ₹59 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
22. 22.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
23. 23.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
24. 24.A 65-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?
25. 25.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
26. 26.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?
27. 27.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
28. 28.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
29. 29.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
30. 30.A grocer mixes 5 kg of tea at ₹119 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
31. 31.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 1 : 1?
32. 32.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
33. 33.Rice at ₹76 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
34. 34.A 16-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?
35. 35.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
36. 36.Rice at ₹52 per kg is mixed with rice at ₹77 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?
37. 37.A grocer mixes 10 kg of tea at ₹47 per kg with 2 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
38. 38.A 35-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?
39. 39.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
40. 40.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?

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