Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 104 · 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 6-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?
2. 2.A grocer mixes 3 kg of tea at ₹45 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
3. 3.A 15-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?
4. 4.A grocer mixes 12 kg of tea at ₹119 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
5. 5.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?
6. 6.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?
7. 7.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
8. 8.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
9. 9.Rice at ₹46 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
10. 10.A grocer mixes 11 kg of tea at ₹28 per kg with 11 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
11. 11.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
12. 12.A grocer mixes 9 kg of tea at ₹75 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
13. 13.A grocer mixes 4 kg of tea at ₹118 per kg with 8 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
14. 14.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
15. 15.A jug has 10 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 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
17. 17.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?
18. 18.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
19. 19.A 54-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?
20. 20.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
21. 21.A grocer mixes 3 kg of tea at ₹85 per kg with 12 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
22. 22.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?
23. 23.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 : 3?
24. 24.A jug has 40 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?
25. 25.A 60-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?
26. 26.Rice at ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
27. 27.A grocer mixes 8 kg of tea at ₹91 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
28. 28.A grocer mixes 3 kg of tea at ₹116 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
29. 29.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
30. 30.Rice at ₹26 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
31. 31.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
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 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
34. 34.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?
35. 35.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
36. 36.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
37. 37.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
38. 38.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
39. 39.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
40. 40.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?

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