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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 338 · 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 ₹27 per kg is mixed with rice at ₹37 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?
  2. 2.A jug has 25 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?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.A grocer mixes 6 kg of tea at ₹63 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹69 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 6 kg of the dearer rice?
  7. 7.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹95 per kg with 5 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 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?
  10. 10.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?
  11. 11.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?
  12. 12.A grocer mixes 5 kg of tea at ₹84 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹89 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹73 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A grocer mixes 6 kg of tea at ₹31 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹98 per kg with 8 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.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 15 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹67 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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 12 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  26. 26.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A 25-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?
  29. 29.A grocer mixes 3 kg of tea at ₹56 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 3 kg of tea at ₹21 per kg with 11 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  32. 32.A grocer mixes 8 kg of tea at ₹71 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A grocer mixes 12 kg of tea at ₹86 per kg with 11 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 5 kg of tea at ₹85 per kg with 10 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  37. 37.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  38. 38.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.Rice at ₹30 per kg is mixed with rice at ₹45 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?
  40. 40.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?

Answer key

  1. 15
  2. 50
  3. 3
  4. 36
  5. 49
  6. 36
  7. 7
  8. 71
  9. 40
  10. 75
  11. 80
  12. 88
  13. 85
  14. 5
  15. 36
  16. 90
  17. 50
  18. 18
  19. 56
  20. 8
  21. 70
  22. 18
  23. 6
  24. 52
  25. 35
  26. 16
  27. 10
  28. 5
  29. 36
  30. 87
  31. 5
  32. 96
  33. 60
  34. 64
  35. 59
  36. 7
  37. 4
  38. 18
  39. 14
  40. 55

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