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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 899 · 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 ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.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?
  3. 3.A grocer mixes 10 kg of tea at ₹111 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹72 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  6. 6.Rice at ₹48 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 12 kg of tea at ₹51 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹68 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹55 per kg with 5 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A grocer mixes 10 kg of tea at ₹100 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹21 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.Rice at ₹23 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹41 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹27 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 11 kg of tea at ₹58 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.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 1 : 4?
  26. 26.Rice at ₹41 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 12 kg of tea at ₹41 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹33 per kg is mixed with rice at ₹63 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?
  30. 30.A grocer mixes 2 kg of tea at ₹44 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 12 kg of tea at ₹103 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 25 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?
  33. 33.A jug has 50 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?
  34. 34.Rice at ₹63 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  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 11 kg of tea at ₹21 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  38. 38.A grocer mixes 7 kg of tea at ₹50 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  40. 40.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 18
  2. 68
  3. 99
  4. 8
  5. 16
  6. 32
  7. 25
  8. 38
  9. 10
  10. 65
  11. 55
  12. 87
  13. 20
  14. 2
  15. 53
  16. 7
  17. 40
  18. 50
  19. 42
  20. 33
  21. 20
  22. 93
  23. 66
  24. 30
  25. 21
  26. 24
  27. 60
  28. 50
  29. 4
  30. 32
  31. 90
  32. 50
  33. 50
  34. 35
  35. 40
  36. 31
  37. 6
  38. 44
  39. 6
  40. 18

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