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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 989 · 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 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?
  2. 2.Rice at ₹51 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A grocer mixes 9 kg of tea at ₹114 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.Rice at ₹71 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  7. 7.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 : 2?
  8. 8.Rice at ₹47 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹57 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.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?
  14. 14.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  15. 15.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.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?
  17. 17.A grocer mixes 2 kg of tea at ₹45 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹65 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A grocer mixes 8 kg of tea at ₹96 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹64 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?
  22. 22.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  23. 23.A grocer mixes 6 kg of tea at ₹22 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 4 kg of tea at ₹81 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹71 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹68 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  27. 27.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  28. 28.Rice at ₹42 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  30. 30.A grocer mixes 3 kg of tea at ₹31 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  32. 32.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  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.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  35. 35.Rice at ₹58 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.Rice at ₹65 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  39. 39.A grocer mixes 8 kg of tea at ₹41 per kg with 7 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹63 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 50
  2. 10
  3. 104
  4. 4
  5. 15
  6. 8
  7. 6
  8. 32
  9. 79
  10. 3
  11. 75
  12. 25
  13. 80
  14. 8
  15. 12
  16. 36
  17. 81
  18. 58
  19. 6
  20. 71
  21. 16
  22. 6
  23. 54
  24. 65
  25. 39
  26. 18
  27. 28
  28. 5
  29. 8
  30. 91
  31. 16
  32. 14
  33. 20
  34. 9
  35. 18
  36. 14
  37. 3
  38. 10
  39. 69
  40. 18

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