← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 355 · 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 ₹62 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 12 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹105 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.Rice at ₹66 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.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?
  6. 6.A grocer mixes 5 kg of tea at ₹111 per kg with 8 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  9. 9.Rice at ₹50 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 2 kg of the dearer rice?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹48 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?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.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?
  13. 13.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  14. 14.A jug has 50 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?
  15. 15.A grocer mixes 4 kg of tea at ₹23 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 9 kg of tea at ₹85 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  20. 20.A grocer mixes 10 kg of tea at ₹59 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 4 kg of tea at ₹23 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 72-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?
  24. 24.A 64-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?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹24 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.A grocer mixes 5 kg of tea at ₹113 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  31. 31.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 3 kg of tea at ₹93 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹61 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹102 per kg with 6 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  39. 39.A grocer mixes 8 kg of tea at ₹28 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹90 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 18
  2. 40
  3. 50
  4. 2
  5. 60
  6. 79
  7. 6
  8. 6
  9. 4
  10. 4
  11. 10
  12. 64
  13. 24
  14. 50
  15. 41
  16. 63
  17. 68
  18. 6
  19. 8
  20. 53
  21. 50
  22. 47
  23. 9
  24. 16
  25. 4
  26. 72
  27. 12
  28. 103
  29. 1
  30. 27
  31. 60
  32. 74
  33. 36
  34. 48
  35. 96
  36. 4
  37. 8
  38. 7
  39. 71
  40. 75

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