← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 739 · 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 9 kg of tea at ₹61 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹21 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹52 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹21 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  7. 7.A grocer mixes 8 kg of tea at ₹97 per kg with 8 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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 : 3?
  10. 10.A grocer mixes 3 kg of tea at ₹86 per kg with 3 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹113 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 6 kg of tea at ₹29 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹96 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹83 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?
  17. 17.A grocer mixes 9 kg of tea at ₹117 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  22. 22.A grocer mixes 4 kg of tea at ₹34 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹25 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  25. 25.A grocer mixes 12 kg of tea at ₹81 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 8 kg of tea at ₹41 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹28 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.A 72-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?
  30. 30.A grocer mixes 2 kg of tea at ₹25 per kg with 9 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹44 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.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 5 : 4?
  33. 33.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  34. 34.A grocer mixes 10 kg of tea at ₹72 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 10 kg of tea at ₹105 per kg with 6 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹30 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹21 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  38. 38.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  39. 39.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?
  40. 40.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 79
  2. 63
  3. 2
  4. 16
  5. 53
  6. 16
  7. 78
  8. 60
  9. 20
  10. 83
  11. 84
  12. 34
  13. 15
  14. 72
  15. 62
  16. 15
  17. 92
  18. 64
  19. 8
  20. 60
  21. 30
  22. 58
  23. 18
  24. 24
  25. 74
  26. 68
  27. 40
  28. 12
  29. 24
  30. 79
  31. 20
  32. 4
  33. 9
  34. 52
  35. 78
  36. 3
  37. 7
  38. 28
  39. 50
  40. 24

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude