Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 600 · 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 50 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?
2. 2.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?
3. 3.A grocer mixes 3 kg of tea at ₹50 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
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 28-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?
6. 6.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 : 4?
7. 7.A 77-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
8. 8.Rice at ₹61 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
9. 9.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
10. 10.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
11. 11.A jug has 20 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?
12. 12.Rice at ₹80 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 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 grocer mixes 3 kg of tea at ₹36 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
15. 15.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
16. 16.A 30-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?
17. 17.A jug has 20 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?
18. 18.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
19. 19.Rice at ₹71 per kg is mixed with rice at ₹81 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?
20. 20.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
21. 21.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?
22. 22.A grocer mixes 2 kg of tea at ₹111 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
23. 23.Rice at ₹37 per kg is mixed with rice at ₹62 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 14-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?
25. 25.A 15-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?
26. 26.Rice at ₹23 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
27. 27.A grocer mixes 10 kg of tea at ₹38 per kg with 10 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
28. 28.A grocer mixes 9 kg of tea at ₹100 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
29. 29.Rice at ₹70 per kg is mixed with rice at ₹105 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?
30. 30.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
31. 31.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?
32. 32.A grocer mixes 4 kg of tea at ₹58 per kg with 5 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
33. 33.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?
34. 34.A 72-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?
35. 35.A grocer mixes 6 kg of tea at ₹78 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
36. 36.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
37. 37.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 6 : 7?
38. 38.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?
39. 39.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
40. 40.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 : 9?

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