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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 587 · 40 questions
TalentJR

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 grocer mixes 6 kg of tea at ₹37 per kg with 10 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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?
  3. 3.A grocer mixes 9 kg of tea at ₹93 per kg with 9 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  6. 6.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  7. 7.A grocer mixes 6 kg of tea at ₹105 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹31 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  10. 10.A 49-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?
  11. 11.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 4 kg of tea at ₹21 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 6 kg of tea at ₹116 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 5 kg of tea at ₹72 per kg with 10 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  16. 16.A grocer mixes 11 kg of tea at ₹62 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 2 kg of tea at ₹21 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.A 14-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?
  21. 21.Rice at ₹72 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  24. 24.A jug has 10 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?
  25. 25.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.A grocer mixes 7 kg of tea at ₹61 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹47 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 6 kg of the dearer rice?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.A grocer mixes 10 kg of tea at ₹109 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹22 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹54 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 12 kg of tea at ₹77 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 47
  2. 60
  3. 57
  4. 6
  5. 2
  6. 14
  7. 94
  8. 24
  9. 30
  10. 28
  11. 40
  12. 23
  13. 66
  14. 44
  15. 40
  16. 44
  17. 25
  18. 77
  19. 18
  20. 6
  21. 2
  22. 48
  23. 9
  24. 80
  25. 18
  26. 86
  27. 18
  28. 4
  29. 50
  30. 97
  31. 60
  32. 1
  33. 72
  34. 4
  35. 1
  36. 62
  37. 18
  38. 3
  39. 66
  40. 9

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