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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 37 · 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 ₹61 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹42 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹20 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹34 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  8. 8.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹58 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹64 per kg with 10 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 4 kg of tea at ₹38 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹96 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 2 : 5?
  14. 14.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹38 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.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?
  18. 18.A grocer mixes 4 kg of tea at ₹92 per kg with 12 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 11 kg of tea at ₹48 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹50 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.Rice at ₹62 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.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?
  24. 24.A grocer mixes 4 kg of tea at ₹33 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹43 per kg with 11 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 6 kg of tea at ₹109 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹114 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹83 per kg with 5 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹70 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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 : 5?
  34. 34.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹47 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹82 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹36 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹70 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹70 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 24
  2. 49
  3. 9
  4. 6
  5. 9
  6. 54
  7. 6
  8. 18
  9. 66
  10. 82
  11. 29
  12. 100
  13. 27
  14. 8
  15. 46
  16. 25
  17. 55
  18. 113
  19. 58
  20. 4
  21. 18
  22. 20
  23. 70
  24. 51
  25. 14
  26. 65
  27. 61
  28. 62
  29. 58
  30. 10
  31. 5
  32. 82
  33. 8
  34. 8
  35. 5
  36. 41
  37. 54
  38. 50
  39. 30
  40. 25

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