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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 617 · 40 questions
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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 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  2. 2.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  3. 3.A grocer mixes 4 kg of tea at ₹81 per kg with 12 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 12 kg of tea at ₹73 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  7. 7.A 22-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?
  8. 8.A grocer mixes 12 kg of tea at ₹120 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 33-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?
  10. 10.A grocer mixes 3 kg of tea at ₹98 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 48-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?
  12. 12.A grocer mixes 5 kg of tea at ₹108 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹92 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹69 per kg is mixed with rice at ₹157 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹100 per kg with 9 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 20-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?
  18. 18.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 1 : 2?
  19. 19.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.Rice at ₹42 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹53 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  23. 23.A grocer mixes 5 kg of tea at ₹64 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹50 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 9 kg of tea at ₹61 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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?
  29. 29.A grocer mixes 6 kg of tea at ₹29 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 50-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?
  31. 31.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹78 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 12 kg of tea at ₹32 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹24 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 6 kg of tea at ₹78 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 ₹60 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  38. 38.Rice at ₹27 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  39. 39.Rice at ₹55 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.Rice at ₹57 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 36
  2. 9
  3. 93
  4. 96
  5. 14
  6. 16
  7. 2
  8. 97
  9. 3
  10. 59
  11. 16
  12. 94
  13. 52
  14. 6
  15. 68
  16. 55
  17. 15
  18. 15
  19. 32
  20. 24
  21. 44
  22. 28
  23. 71
  24. 6
  25. 80
  26. 60
  27. 70
  28. 80
  29. 42
  30. 10
  31. 4
  32. 75
  33. 60
  34. 35
  35. 75
  36. 20
  37. 5
  38. 30
  39. 6
  40. 15

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