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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 555 · 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 grocer mixes 10 kg of tea at ₹73 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹36 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹99 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹38 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  5. 5.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.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?
  7. 7.A 18-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?
  8. 8.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 12 kg of tea at ₹36 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.Rice at ₹28 per kg is mixed with rice at ₹38 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?
  14. 14.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 : 10?
  15. 15.A grocer mixes 4 kg of tea at ₹48 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹25 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹28 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹49 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 12 kg of tea at ₹66 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹113 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.A grocer mixes 8 kg of tea at ₹46 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.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?
  26. 26.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  27. 27.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.A grocer mixes 5 kg of tea at ₹42 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  30. 30.Rice at ₹45 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹49 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A grocer mixes 10 kg of tea at ₹24 per kg with 5 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  36. 36.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?
  37. 37.Rice at ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹109 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 25 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?
  40. 40.Rice at ₹28 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?

Answer key

  1. 69
  2. 35
  3. 94
  4. 8
  5. 6
  6. 25
  7. 18
  8. 16
  9. 80
  10. 33
  11. 40
  12. 8
  13. 16
  14. 24
  15. 41
  16. 47
  17. 5
  18. 38
  19. 71
  20. 74
  21. 18
  22. 43
  23. 4
  24. 5
  25. 60
  26. 30
  27. 9
  28. 65
  29. 40
  30. 6
  31. 24
  32. 8
  33. 3
  34. 43
  35. 10
  36. 70
  37. 12
  38. 88
  39. 50
  40. 8

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