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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 286 · 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 72-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?
  2. 2.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A 21-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?
  4. 4.A grocer mixes 10 kg of tea at ₹75 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 5 kg of tea at ₹117 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 9 kg of tea at ₹111 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 6 kg of tea at ₹43 per kg with 11 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A grocer mixes 11 kg of tea at ₹45 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹39 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹55 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 4 kg of the dearer rice?
  12. 12.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?
  13. 13.A jug has 40 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?
  14. 14.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?
  15. 15.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 12 kg of tea at ₹90 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  19. 19.A grocer mixes 2 kg of tea at ₹31 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹58 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  23. 23.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 : 5?
  24. 24.A 72-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?
  25. 25.A grocer mixes 4 kg of tea at ₹71 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹25 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 2 kg of tea at ₹118 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹120 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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 1 : 3?
  31. 31.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  35. 35.A grocer mixes 8 kg of tea at ₹35 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹83 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹49 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 20 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹42 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?

Answer key

  1. 18
  2. 1
  3. 21
  4. 93
  5. 87
  6. 90
  7. 76
  8. 18
  9. 53
  10. 6
  11. 2
  12. 70
  13. 25
  14. 55
  15. 66
  16. 96
  17. 50
  18. 8
  19. 87
  20. 20
  21. 9
  22. 6
  23. 27
  24. 24
  25. 56
  26. 15
  27. 75
  28. 98
  29. 92
  30. 9
  31. 3
  32. 12
  33. 8
  34. 8
  35. 36
  36. 71
  37. 25
  38. 70
  39. 2
  40. 28

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