Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 457 · 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 grocer mixes 3 kg of tea at ₹106 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
2. 2.A grocer mixes 3 kg of tea at ₹91 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
3. 3.Rice at ₹21 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
4. 4.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
5. 5.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
6. 6.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
7. 7.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?
8. 8.Rice at ₹40 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
9. 9.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
10. 10.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
11. 11.A 44-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?
12. 12.A jug has 10 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?
13. 13.A grocer mixes 4 kg of tea at ₹38 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
14. 14.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?
15. 15.A 30-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?
16. 16.Rice at ₹36 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
17. 17.A grocer mixes 7 kg of tea at ₹80 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
18. 18.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
19. 19.A jug has 20 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?
20. 20.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?
21. 21.A grocer mixes 4 kg of tea at ₹61 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
22. 22.A 24-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?
23. 23.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
24. 24.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?
25. 25.A grocer mixes 6 kg of tea at ₹97 per kg with 9 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
26. 26.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
27. 27.A grocer mixes 4 kg of tea at ₹78 per kg with 11 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
28. 28.A grocer mixes 9 kg of tea at ₹116 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
29. 29.A grocer mixes 12 kg of tea at ₹60 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
30. 30.A jug has 40 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?
31. 31.Rice at ₹56 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
32. 32.A grocer mixes 7 kg of tea at ₹78 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
33. 33.A grocer mixes 2 kg of tea at ₹26 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
34. 34.A grocer mixes 12 kg of tea at ₹41 per kg with 12 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
35. 35.A grocer mixes 3 kg of tea at ₹57 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
36. 36.A grocer mixes 7 kg of tea at ₹57 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
37. 37.A grocer mixes 11 kg of tea at ₹62 per kg with 11 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
38. 38.A grocer mixes 3 kg of tea at ₹34 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
39. 39.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
40. 40.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?

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