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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 249 · 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 8 kg of tea at ₹86 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹50 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹47 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?
  6. 6.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.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?
  8. 8.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  9. 9.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 6 kg of tea at ₹70 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  13. 13.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 2 : 7?
  14. 14.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?
  15. 15.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹59 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  20. 20.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.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?
  22. 22.A grocer mixes 3 kg of tea at ₹76 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 90-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?
  24. 24.A grocer mixes 9 kg of tea at ₹110 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 7 kg of tea at ₹35 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹80 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹44 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  29. 29.A grocer mixes 6 kg of tea at ₹104 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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 8 kg of the dearer rice?
  31. 31.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 1 : 3?
  32. 32.A jug has 40 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?
  33. 33.A jug has 40 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?
  34. 34.Rice at ₹39 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹37 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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 : 4?
  37. 37.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  38. 38.Rice at ₹77 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A grocer mixes 11 kg of tea at ₹41 per kg with 11 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹40 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 59
  2. 10
  3. 36
  4. 52
  5. 3
  6. 42
  7. 5
  8. 2
  9. 15
  10. 72
  11. 15
  12. 5
  13. 14
  14. 55
  15. 5
  16. 35
  17. 50
  18. 4
  19. 14
  20. 12
  21. 60
  22. 84
  23. 30
  24. 94
  25. 37
  26. 56
  27. 9
  28. 12
  29. 102
  30. 2
  31. 36
  32. 36
  33. 20
  34. 2
  35. 41
  36. 4
  37. 18
  38. 8
  39. 37
  40. 64

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