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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 922 · 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 7 kg of tea at ₹75 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 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?
  3. 3.A grocer mixes 8 kg of tea at ₹59 per kg with 5 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 7 kg of tea at ₹90 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.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?
  7. 7.A grocer mixes 5 kg of tea at ₹22 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  9. 9.A grocer mixes 11 kg of tea at ₹105 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹39 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 36-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?
  13. 13.Rice at ₹47 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹22 per kg with 11 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹80 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A jug has 10 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?
  18. 18.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A grocer mixes 10 kg of tea at ₹104 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.Rice at ₹70 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  23. 23.Rice at ₹50 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 15 kg of the dearer rice?
  24. 24.A jug has 40 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?
  25. 25.A grocer mixes 2 kg of tea at ₹118 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 11 kg of tea at ₹97 per kg with 11 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹77 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 21-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?
  30. 30.A grocer mixes 10 kg of tea at ₹79 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 3 kg of tea at ₹80 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹91 per kg with 11 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 8 kg of tea at ₹29 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.A grocer mixes 3 kg of tea at ₹84 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  38. 38.Rice at ₹39 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 12 kg of the dearer rice?
  39. 39.A 40-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?
  40. 40.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 93
  2. 40
  3. 54
  4. 54
  5. 5
  6. 60
  7. 78
  8. 4
  9. 93
  10. 32
  11. 33
  12. 6
  13. 1
  14. 4
  15. 44
  16. 12
  17. 68
  18. 9
  19. 98
  20. 10
  21. 5
  22. 27
  23. 5
  24. 40
  25. 74
  26. 81
  27. 8
  28. 78
  29. 9
  30. 89
  31. 58
  32. 102
  33. 46
  34. 5
  35. 85
  36. 24
  37. 18
  38. 30
  39. 15
  40. 18

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