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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 620 · 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 6 kg of tea at ₹89 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  3. 3.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹21 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹40 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 40 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?
  7. 7.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.Rice at ₹61 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.A grocer mixes 9 kg of tea at ₹104 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.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?
  14. 14.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  15. 15.A grocer mixes 3 kg of tea at ₹40 per kg with 12 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 7 kg of tea at ₹21 per kg with 7 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹52 per kg is mixed with rice at ₹76 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?
  19. 19.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.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?
  21. 21.A grocer mixes 12 kg of tea at ₹77 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹98 per kg with 5 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹42 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 9 kg of tea at ₹41 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹45 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹112 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹79 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 12 kg of tea at ₹77 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹42 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.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?
  35. 35.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?
  36. 36.A grocer mixes 6 kg of tea at ₹113 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹33 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.Rice at ₹76 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 76
  2. 14
  3. 1
  4. 12
  5. 60
  6. 60
  7. 18
  8. 5
  9. 60
  10. 21
  11. 100
  12. 6
  13. 60
  14. 12
  15. 104
  16. 75
  17. 38
  18. 5
  19. 12
  20. 75
  21. 73
  22. 97
  23. 15
  24. 28
  25. 56
  26. 3
  27. 50
  28. 80
  29. 32
  30. 80
  31. 78
  32. 20
  33. 20
  34. 20
  35. 40
  36. 58
  37. 21
  38. 88
  39. 18
  40. 2

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