← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 743 · 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 64-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?
  2. 2.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?
  3. 3.Rice at ₹65 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 5 kg of tea at ₹120 per kg with 10 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 5 kg of tea at ₹102 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 4 kg of tea at ₹23 per kg with 5 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A grocer mixes 9 kg of tea at ₹51 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.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?
  14. 14.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  15. 15.A grocer mixes 11 kg of tea at ₹70 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 12 kg of tea at ₹84 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 40 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?
  18. 18.A grocer mixes 9 kg of tea at ₹64 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹52 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A 40-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?
  22. 22.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.Rice at ₹80 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 16 kg of the dearer rice?
  24. 24.A grocer mixes 7 kg of tea at ₹30 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 12 kg of tea at ₹49 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹118 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹119 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹75 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  29. 29.A grocer mixes 5 kg of tea at ₹85 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 12 kg of tea at ₹26 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  32. 32.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?
  33. 33.A 8-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?
  34. 34.Rice at ₹48 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹75 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  37. 37.A grocer mixes 12 kg of tea at ₹57 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A grocer mixes 3 kg of tea at ₹98 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹29 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 50
  3. 12
  4. 60
  5. 60
  6. 12
  7. 3
  8. 86
  9. 53
  10. 15
  11. 79
  12. 2
  13. 55
  14. 3
  15. 64
  16. 65
  17. 52
  18. 89
  19. 42
  20. 9
  21. 8
  22. 50
  23. 12
  24. 36
  25. 43
  26. 108
  27. 113
  28. 4
  29. 77
  30. 39
  31. 30
  32. 50
  33. 4
  34. 10
  35. 12
  36. 7
  37. 52
  38. 32
  39. 114
  40. 27

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