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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 610 · 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 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.A grocer mixes 2 kg of tea at ₹98 per kg with 5 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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 1 : 1?
  6. 6.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A grocer mixes 6 kg of tea at ₹52 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 8 kg of tea at ₹78 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  17. 17.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?
  18. 18.A grocer mixes 11 kg of tea at ₹60 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹60 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  20. 20.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  21. 21.Rice at ₹41 per kg is mixed with rice at ₹48 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?
  22. 22.Rice at ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 11 kg of tea at ₹98 per kg with 11 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹38 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  25. 25.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  26. 26.Rice at ₹78 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹78 per kg is mixed with rice at ₹155 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  29. 29.Rice at ₹72 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.Rice at ₹47 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.Rice at ₹44 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A grocer mixes 11 kg of tea at ₹43 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 44-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?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.A grocer mixes 12 kg of tea at ₹75 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 90-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?
  38. 38.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  40. 40.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?

Answer key

  1. 12
  2. 73
  3. 15
  4. 36
  5. 7
  6. 108
  7. 2
  8. 76
  9. 55
  10. 4
  11. 66
  12. 68
  13. 90
  14. 3
  15. 5
  16. 24
  17. 50
  18. 42
  19. 15
  20. 21
  21. 1
  22. 3
  23. 66
  24. 6
  25. 40
  26. 42
  27. 40
  28. 15
  29. 36
  30. 5
  31. 8
  32. 25
  33. 49
  34. 16
  35. 24
  36. 57
  37. 40
  38. 50
  39. 6
  40. 60

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