Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 454 · 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 ₹63 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
2. 2.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?
3. 3.A 33-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?
4. 4.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?
5. 5.A grocer mixes 2 kg of tea at ₹22 per kg with 8 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
6. 6.A grocer mixes 6 kg of tea at ₹54 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
7. 7.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
8. 8.A grocer mixes 4 kg of tea at ₹40 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
9. 9.A 24-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?
10. 10.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
11. 11.A grocer mixes 3 kg of tea at ₹65 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
12. 12.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
13. 13.A 130-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?
14. 14.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?
15. 15.A grocer mixes 9 kg of tea at ₹69 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
16. 16.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
17. 17.A 88-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?
18. 18.A grocer mixes 2 kg of tea at ₹55 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
19. 19.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?
20. 20.A grocer mixes 6 kg of tea at ₹102 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
21. 21.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
22. 22.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
23. 23.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
24. 24.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
25. 25.Rice at ₹31 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
26. 26.A grocer mixes 4 kg of tea at ₹87 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
27. 27.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
28. 28.Rice at ₹74 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
29. 29.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 : 6?
30. 30.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
31. 31.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
32. 32.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
33. 33.A grocer mixes 10 kg of tea at ₹92 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
34. 34.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?
35. 35.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?
36. 36.Rice at ₹30 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
37. 37.A grocer mixes 3 kg of tea at ₹51 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
38. 38.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
39. 39.Rice at ₹36 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 8 kg of the dearer rice?
40. 40.Rice at ₹51 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

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