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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 360 · 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 ₹51 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹95 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  4. 4.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A grocer mixes 3 kg of tea at ₹74 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.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?
  9. 9.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.Rice at ₹62 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 4 kg of the dearer rice?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.A jug has 10 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?
  13. 13.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  14. 14.Rice at ₹70 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 16 kg of the dearer rice?
  15. 15.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹41 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 12 kg of tea at ₹77 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹46 per kg is mixed with rice at ₹91 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?
  19. 19.Rice at ₹33 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹30 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 11 kg of tea at ₹26 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 3 kg of tea at ₹69 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹53 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹106 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹43 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹22 per kg with 10 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹115 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 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 ₹)?
  34. 34.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?
  35. 35.A grocer mixes 12 kg of tea at ₹76 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹58 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  38. 38.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.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?
  40. 40.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?

Answer key

  1. 36
  2. 65
  3. 14
  4. 8
  5. 8
  6. 90
  7. 55
  8. 50
  9. 4
  10. 20
  11. 4
  12. 80
  13. 2
  14. 40
  15. 14
  16. 61
  17. 72
  18. 12
  19. 16
  20. 33
  21. 16
  22. 28
  23. 56
  24. 77
  25. 78
  26. 68
  27. 32
  28. 8
  29. 90
  30. 14
  31. 68
  32. 43
  33. 82
  34. 75
  35. 94
  36. 39
  37. 18
  38. 6
  39. 32
  40. 7

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