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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 868 · 40 questions
TalentJR

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.

NameDateTime takenScore ___ / 40
  1. 1.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?
  2. 2.A grocer mixes 8 kg of tea at ₹21 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A 40-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?
  5. 5.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?
  6. 6.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  7. 7.A 33-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?
  8. 8.A 63-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?
  9. 9.A grocer mixes 5 kg of tea at ₹60 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹27 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.Rice at ₹47 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  13. 13.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 7 : 8?
  14. 14.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  15. 15.A grocer mixes 6 kg of tea at ₹50 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹42 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  19. 19.Rice at ₹38 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  20. 20.Rice at ₹39 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.Rice at ₹60 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹29 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A grocer mixes 5 kg of tea at ₹37 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 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?
  26. 26.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?
  27. 27.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  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 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  30. 30.A jug has 20 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?
  31. 31.Rice at ₹34 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 18 kg of the dearer rice?
  32. 32.Rice at ₹54 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  34. 34.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  35. 35.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 : 8?
  36. 36.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  37. 37.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 3 kg of tea at ₹34 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.A 100-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?

Answer key

  1. 50
  2. 30
  3. 14
  4. 12
  5. 60
  6. 9
  7. 6
  8. 18
  9. 78
  10. 75
  11. 24
  12. 6
  13. 24
  14. 4
  15. 68
  16. 63
  17. 32
  18. 30
  19. 7
  20. 24
  21. 18
  22. 2
  23. 30
  24. 65
  25. 75
  26. 52
  27. 36
  28. 70
  29. 6
  30. 70
  31. 6
  32. 20
  33. 16
  34. 14
  35. 7
  36. 7
  37. 115
  38. 74
  39. 24
  40. 40

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