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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 508 · 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.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹105 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹26 per kg with 7 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹29 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹84 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A grocer mixes 7 kg of tea at ₹29 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 11 kg of tea at ₹28 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹73 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  12. 12.A grocer mixes 12 kg of tea at ₹88 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 10 kg of tea at ₹81 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹31 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 8 kg of tea at ₹62 per kg with 6 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.A jug has 20 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?
  21. 21.Rice at ₹71 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹67 per kg with 8 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  25. 25.Rice at ₹22 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 5 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹58 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 11 kg of tea at ₹77 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  29. 29.Rice at ₹76 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹109 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 8 kg of tea at ₹73 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  33. 33.A grocer mixes 2 kg of tea at ₹81 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹39 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹70 per kg is mixed with rice at ₹79 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?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.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?
  38. 38.A grocer mixes 12 kg of tea at ₹44 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  40. 40.A 90-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?

Answer key

  1. 6
  2. 90
  3. 68
  4. 4
  5. 78
  6. 18
  7. 28
  8. 29
  9. 50
  10. 6
  11. 8
  12. 93
  13. 40
  14. 76
  15. 7
  16. 63
  17. 74
  18. 52
  19. 12
  20. 60
  21. 1
  22. 30
  23. 79
  24. 24
  25. 10
  26. 94
  27. 71
  28. 18
  29. 6
  30. 84
  31. 79
  32. 3
  33. 108
  34. 41
  35. 25
  36. 50
  37. 55
  38. 81
  39. 8
  40. 10

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