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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 550 · 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 ₹66 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A jug has 20 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 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  4. 4.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  6. 6.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?
  7. 7.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.A grocer mixes 2 kg of tea at ₹73 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  11. 11.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹57 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.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?
  16. 16.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  18. 18.A 64-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?
  19. 19.Rice at ₹45 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  20. 20.Rice at ₹39 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 24 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.Rice at ₹76 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  24. 24.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  25. 25.A jug has 40 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?
  26. 26.A grocer mixes 10 kg of tea at ₹114 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹60 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹57 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  30. 30.Rice at ₹45 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 12 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹79 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.Rice at ₹58 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.Rice at ₹54 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹63 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 9 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.Rice at ₹47 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A grocer mixes 9 kg of tea at ₹73 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 18
  2. 52
  3. 18
  4. 112
  5. 32
  6. 36
  7. 28
  8. 3
  9. 48
  10. 15
  11. 9
  12. 2
  13. 60
  14. 20
  15. 60
  16. 9
  17. 10
  18. 8
  19. 24
  20. 18
  21. 25
  22. 4
  23. 5
  24. 7
  25. 28
  26. 111
  27. 62
  28. 3
  29. 14
  30. 9
  31. 91
  32. 75
  33. 18
  34. 5
  35. 10
  36. 12
  37. 50
  38. 42
  39. 2
  40. 59

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