← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 502 · 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.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.A grocer mixes 10 kg of tea at ₹84 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹63 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 30 kg of the dearer rice?
  4. 4.Rice at ₹70 per kg is mixed with rice at ₹158 per kg to make a mix worth ₹118 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.Rice at ₹45 per kg is mixed with rice at ₹57 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?
  6. 6.A grocer mixes 11 kg of tea at ₹35 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹80 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.Rice at ₹27 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 9 kg of the dearer rice?
  9. 9.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.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?
  11. 11.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.A grocer mixes 3 kg of tea at ₹68 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 3 : 7?
  14. 14.A grocer mixes 5 kg of tea at ₹93 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹21 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹52 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹68 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹45 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  24. 24.A grocer mixes 9 kg of tea at ₹61 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 56-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?
  26. 26.A jug has 20 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?
  27. 27.Rice at ₹45 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.Rice at ₹61 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 56-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?
  31. 31.A grocer mixes 2 kg of tea at ₹20 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A jug has 20 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?
  34. 34.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 8 kg of tea at ₹92 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹66 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 24 kg of the dearer rice?
  37. 37.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹60 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.A grocer mixes 6 kg of tea at ₹67 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 1
  2. 65
  3. 6
  4. 15
  5. 3
  6. 63
  7. 16
  8. 6
  9. 6
  10. 70
  11. 6
  12. 66
  13. 18
  14. 77
  15. 36
  16. 80
  17. 27
  18. 4
  19. 82
  20. 35
  21. 87
  22. 76
  23. 24
  24. 49
  25. 7
  26. 60
  27. 8
  28. 9
  29. 50
  30. 7
  31. 30
  32. 36
  33. 28
  34. 60
  35. 80
  36. 16
  37. 10
  38. 5
  39. 51
  40. 20

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