← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 794 · 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 ₹47 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  5. 5.Rice at ₹75 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.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?
  7. 7.A 24-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?
  8. 8.Rice at ₹41 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹84 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A grocer mixes 11 kg of tea at ₹81 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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 3 : 4?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹26 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹84 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 9 kg of tea at ₹28 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  21. 21.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹93 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 7 kg of tea at ₹84 per kg with 12 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 8 kg of tea at ₹84 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹57 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A grocer mixes 10 kg of tea at ₹61 per kg with 5 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  31. 31.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?
  32. 32.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  34. 34.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  35. 35.A grocer mixes 2 kg of tea at ₹119 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.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?
  38. 38.A grocer mixes 4 kg of tea at ₹119 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  40. 40.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 8
  2. 20
  3. 50
  4. 15
  5. 8
  6. 60
  7. 12
  8. 12
  9. 65
  10. 10
  11. 71
  12. 3
  13. 4
  14. 5
  15. 6
  16. 75
  17. 43
  18. 4
  19. 6
  20. 32
  21. 24
  22. 30
  23. 87
  24. 96
  25. 86
  26. 5
  27. 25
  28. 4
  29. 78
  30. 20
  31. 68
  32. 70
  33. 20
  34. 9
  35. 47
  36. 60
  37. 50
  38. 74
  39. 6
  40. 48

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