← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 158 · 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 jug has 10 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?
  2. 2.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹94 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?
  4. 4.Rice at ₹29 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A 24-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?
  6. 6.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  7. 7.A grocer mixes 4 kg of tea at ₹64 per kg with 8 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹37 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  10. 10.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.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 15 kg of the dearer rice?
  14. 14.A 24-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?
  15. 15.A grocer mixes 5 kg of tea at ₹55 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹73 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  21. 21.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  23. 23.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  28. 28.A grocer mixes 8 kg of tea at ₹44 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 40 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?
  30. 30.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?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹41 per kg is mixed with rice at ₹81 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?
  36. 36.A jug has 10 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?
  37. 37.A jug has 20 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?
  38. 38.A grocer mixes 4 kg of tea at ₹37 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 7 kg of tea at ₹87 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 65-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?

Answer key

  1. 70
  2. 10
  3. 6
  4. 6
  5. 3
  6. 40
  7. 54
  8. 24
  9. 16
  10. 8
  11. 3
  12. 10
  13. 25
  14. 9
  15. 72
  16. 69
  17. 15
  18. 5
  19. 5
  20. 8
  21. 16
  22. 30
  23. 9
  24. 10
  25. 2
  26. 15
  27. 32
  28. 72
  29. 28
  30. 60
  31. 8
  32. 40
  33. 16
  34. 75
  35. 24
  36. 55
  37. 52
  38. 43
  39. 97
  40. 10

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