Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 148 · 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 5 kg of tea at ₹51 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
2. 2.A grocer mixes 4 kg of tea at ₹78 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
3. 3.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
4. 4.A jug has 10 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?
5. 5.A 48-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?
6. 6.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
7. 7.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
8. 8.A grocer mixes 6 kg of tea at ₹33 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
9. 9.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
10. 10.Rice at ₹76 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
11. 11.Rice at ₹36 per kg is mixed with rice at ₹78 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?
12. 12.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 3 : 4?
13. 13.Rice at ₹24 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
14. 14.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?
15. 15.A jug has 40 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?
16. 16.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
17. 17.A 20-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?
18. 18.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 : 4?
19. 19.A grocer mixes 4 kg of tea at ₹75 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
20. 20.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?
21. 21.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
22. 22.A grocer mixes 12 kg of tea at ₹120 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
23. 23.Rice at ₹60 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
24. 24.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
25. 25.A 28-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?
26. 26.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
27. 27.Rice at ₹51 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
28. 28.A 18-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?
29. 29.A grocer mixes 3 kg of tea at ₹94 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
30. 30.A grocer mixes 10 kg of tea at ₹41 per kg with 7 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
31. 31.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
32. 32.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
33. 33.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
34. 34.Rice at ₹71 per kg is mixed with rice at ₹143 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
35. 35.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?
36. 36.A jug has 25 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?
37. 37.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
38. 38.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?
39. 39.A 56-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?
40. 40.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?

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude