Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 41 · 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 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?
2. 2.A 45-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?
3. 3.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?
4. 4.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?
5. 5.A 54-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?
6. 6.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
7. 7.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?
8. 8.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
9. 9.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
10. 10.A grocer mixes 5 kg of tea at ₹30 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
11. 11.A grocer mixes 4 kg of tea at ₹77 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
12. 12.A grocer mixes 4 kg of tea at ₹57 per kg with 6 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
13. 13.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 : 10?
14. 14.A grocer mixes 6 kg of tea at ₹36 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
15. 15.A grocer mixes 12 kg of tea at ₹108 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
16. 16.Rice at ₹49 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
17. 17.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
18. 18.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
19. 19.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?
20. 20.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
21. 21.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?
22. 22.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?
23. 23.A grocer mixes 4 kg of tea at ₹81 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
24. 24.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 3 : 8?
25. 25.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?
26. 26.A grocer mixes 4 kg of tea at ₹29 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
27. 27.A 10-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?
28. 28.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
29. 29.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?
30. 30.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 6 : 11?
31. 31.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?
32. 32.A grocer mixes 2 kg of tea at ₹89 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
33. 33.A grocer mixes 2 kg of tea at ₹56 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
34. 34.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?
35. 35.Rice at ₹51 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
36. 36.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?
37. 37.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?
38. 38.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
39. 39.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
40. 40.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?

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