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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 226 · 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 8 kg of tea at ₹71 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹52 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A jug has 10 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?
  6. 6.A grocer mixes 2 kg of tea at ₹81 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 7 kg of tea at ₹103 per kg with 7 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹89 per kg with 2 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  10. 10.Rice at ₹64 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  11. 11.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  13. 13.A grocer mixes 8 kg of tea at ₹21 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹86 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  25. 25.A jug has 10 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?
  26. 26.A grocer mixes 10 kg of tea at ₹110 per kg with 11 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 70-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?
  28. 28.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?
  29. 29.A grocer mixes 3 kg of tea at ₹84 per kg with 11 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 8 kg of tea at ₹66 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  32. 32.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?
  33. 33.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  34. 34.Rice at ₹80 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹75 per kg with 7 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.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 : 11?
  39. 39.Rice at ₹61 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A grocer mixes 6 kg of tea at ₹64 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 57
  2. 25
  3. 9
  4. 25
  5. 50
  6. 66
  7. 89
  8. 75
  9. 21
  10. 6
  11. 8
  12. 24
  13. 52
  14. 60
  15. 50
  16. 24
  17. 58
  18. 40
  19. 5
  20. 4
  21. 2
  22. 16
  23. 7
  24. 6
  25. 70
  26. 66
  27. 10
  28. 68
  29. 73
  30. 56
  31. 15
  32. 76
  33. 4
  34. 9
  35. 60
  36. 96
  37. 75
  38. 12
  39. 5
  40. 60

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