Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 608 · 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 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
2. 2.A grocer mixes 10 kg of tea at ₹97 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
3. 3.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
4. 4.A jug has 25 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?
5. 5.Rice at ₹20 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
6. 6.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?
7. 7.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?
8. 8.A grocer mixes 3 kg of tea at ₹35 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
9. 9.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
10. 10.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?
11. 11.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
12. 12.A grocer mixes 3 kg of tea at ₹38 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
13. 13.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?
14. 14.A jug has 10 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?
15. 15.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
16. 16.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
17. 17.Rice at ₹71 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
18. 18.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?
19. 19.A 14-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?
20. 20.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 1 : 4?
21. 21.Rice at ₹67 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
22. 22.A grocer mixes 3 kg of tea at ₹94 per kg with 7 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
23. 23.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?
24. 24.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
25. 25.A grocer mixes 9 kg of tea at ₹27 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
26. 26.A grocer mixes 6 kg of tea at ₹115 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
27. 27.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?
28. 28.Rice at ₹67 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
29. 29.A grocer mixes 5 kg of tea at ₹24 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
30. 30.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
31. 31.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?
32. 32.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
33. 33.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
34. 34.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?
35. 35.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
36. 36.A grocer mixes 9 kg of tea at ₹45 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
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 grocer mixes 5 kg of tea at ₹120 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
39. 39.A grocer mixes 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
40. 40.A 70-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?

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