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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 936 · 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 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.A grocer mixes 8 kg of tea at ₹61 per kg with 2 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 40 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?
  4. 4.A grocer mixes 3 kg of tea at ₹115 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 8 kg of tea at ₹50 per kg with 11 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹35 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹40 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 8 kg of tea at ₹119 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹25 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  13. 13.A grocer mixes 2 kg of tea at ₹40 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 8-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?
  15. 15.A grocer mixes 6 kg of tea at ₹82 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹31 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹59 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.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 : 6?
  19. 19.A grocer mixes 2 kg of tea at ₹109 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  21. 21.Rice at ₹73 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  22. 22.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹43 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A 12-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?
  28. 28.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.Rice at ₹40 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.Rice at ₹74 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A grocer mixes 9 kg of tea at ₹24 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  34. 34.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.Rice at ₹27 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 20 kg of the dearer rice?
  37. 37.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 3 kg of tea at ₹43 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 3 kg of tea at ₹61 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 12
  2. 63
  3. 28
  4. 97
  5. 61
  6. 5
  7. 46
  8. 24
  9. 52
  10. 95
  11. 61
  12. 8
  13. 78
  14. 4
  15. 62
  16. 28
  17. 4
  18. 8
  19. 110
  20. 3
  21. 14
  22. 3
  23. 35
  24. 18
  25. 2
  26. 5
  27. 16
  28. 4
  29. 18
  30. 5
  31. 12
  32. 27
  33. 28
  34. 36
  35. 8
  36. 12
  37. 24
  38. 70
  39. 73
  40. 73

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