Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 723 · 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.Rice at ₹67 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
2. 2.A grocer mixes 8 kg of tea at ₹53 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
3. 3.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
4. 4.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
5. 5.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
6. 6.A 91-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?
7. 7.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
8. 8.A grocer mixes 4 kg of tea at ₹22 per kg with 8 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
9. 9.A grocer mixes 5 kg of tea at ₹34 per kg with 5 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
10. 10.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
11. 11.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?
12. 12.A grocer mixes 2 kg of tea at ₹73 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
13. 13.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
14. 14.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?
15. 15.A jug has 20 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?
16. 16.A grocer mixes 11 kg of tea at ₹58 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
17. 17.A grocer mixes 3 kg of tea at ₹49 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
18. 18.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?
19. 19.A jug has 10 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?
20. 20.A 90-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?
21. 21.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
22. 22.A jug has 20 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?
23. 23.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
24. 24.Rice at ₹30 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
25. 25.Rice at ₹74 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
26. 26.A grocer mixes 10 kg of tea at ₹82 per kg with 5 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
27. 27.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?
28. 28.A grocer mixes 6 kg of tea at ₹119 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
29. 29.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
30. 30.A grocer mixes 12 kg of tea at ₹114 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
31. 31.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
32. 32.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
33. 33.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
34. 34.A 16-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?
35. 35.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
36. 36.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?
37. 37.Rice at ₹24 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
38. 38.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
39. 39.A 44-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?
40. 40.A grocer mixes 2 kg of tea at ₹112 per kg with 7 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?

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