Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 491 · 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 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
2. 2.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?
3. 3.A grocer mixes 4 kg of tea at ₹114 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
4. 4.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
5. 5.Rice at ₹39 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
6. 6.A grocer mixes 12 kg of tea at ₹80 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
7. 7.A 26-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?
8. 8.A grocer mixes 12 kg of tea at ₹111 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
9. 9.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?
10. 10.Rice at ₹50 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
11. 11.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
12. 12.A grocer mixes 3 kg of tea at ₹50 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
13. 13.A grocer mixes 8 kg of tea at ₹21 per kg with 8 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
14. 14.A 30-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?
15. 15.Rice at ₹59 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
16. 16.A grocer mixes 4 kg of tea at ₹37 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
17. 17.Rice at ₹66 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
18. 18.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
19. 19.Rice at ₹49 per kg is mixed with rice at ₹79 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?
20. 20.A grocer mixes 6 kg of tea at ₹74 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
21. 21.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?
22. 22.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?
23. 23.A grocer mixes 3 kg of tea at ₹24 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
24. 24.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
25. 25.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?
26. 26.A 18-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?
27. 27.A grocer mixes 4 kg of tea at ₹29 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
28. 28.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
29. 29.A grocer mixes 8 kg of tea at ₹50 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
30. 30.Rice at ₹63 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
31. 31.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?
32. 32.A jug has 40 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?
33. 33.A 78-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?
34. 34.A grocer mixes 3 kg of tea at ₹64 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
35. 35.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
36. 36.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
37. 37.Rice at ₹76 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
38. 38.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
39. 39.A grocer mixes 10 kg of tea at ₹113 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
40. 40.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?

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