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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 504 · 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 ₹20 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.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?
  3. 3.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  4. 4.Rice at ₹47 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A 50-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?
  6. 6.Rice at ₹34 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹21 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 15 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹22 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹99 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?
  12. 12.A grocer mixes 3 kg of tea at ₹40 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.A jug has 20 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?
  15. 15.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?
  16. 16.Rice at ₹63 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.Rice at ₹64 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹62 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.A grocer mixes 10 kg of tea at ₹115 per kg with 5 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A grocer mixes 4 kg of tea at ₹89 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹37 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 12 kg of tea at ₹118 per kg with 12 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 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 ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹90 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹83 per kg with 5 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹43 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 8 kg of the dearer rice?
  34. 34.Rice at ₹30 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.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?
  37. 37.A grocer mixes 2 kg of tea at ₹20 per kg with 5 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 3 kg of tea at ₹104 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 10 kg of tea at ₹44 per kg with 6 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 42
  2. 50
  3. 14
  4. 2
  5. 10
  6. 15
  7. 80
  8. 9
  9. 34
  10. 55
  11. 2
  12. 30
  13. 5
  14. 40
  15. 60
  16. 6
  17. 5
  18. 50
  19. 20
  20. 89
  21. 1
  22. 62
  23. 4
  24. 78
  25. 81
  26. 16
  27. 25
  28. 1
  29. 82
  30. 18
  31. 2
  32. 79
  33. 2
  34. 2
  35. 12
  36. 60
  37. 45
  38. 98
  39. 36
  40. 56

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