← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 115 · 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 45-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?
  2. 2.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  3. 3.Rice at ₹28 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.A grocer mixes 5 kg of tea at ₹59 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹63 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 16 kg of the dearer rice?
  7. 7.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹35 per kg with 7 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹54 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.Rice at ₹44 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹42 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  16. 16.A 36-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?
  17. 17.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  21. 21.A jug has 50 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?
  22. 22.Rice at ₹36 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.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?
  27. 27.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.A grocer mixes 2 kg of tea at ₹87 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 7 kg of tea at ₹41 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  34. 34.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 : 2?
  35. 35.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹53 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.A grocer mixes 4 kg of tea at ₹89 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹49 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 15
  2. 28
  3. 25
  4. 9
  5. 50
  6. 8
  7. 10
  8. 63
  9. 6
  10. 3
  11. 3
  12. 40
  13. 60
  14. 6
  15. 16
  16. 16
  17. 50
  18. 36
  19. 12
  20. 20
  21. 25
  22. 15
  23. 10
  24. 4
  25. 30
  26. 68
  27. 21
  28. 8
  29. 67
  30. 35
  31. 21
  32. 27
  33. 12
  34. 10
  35. 9
  36. 4
  37. 49
  38. 5
  39. 99
  40. 95

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