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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 251 · 40 questions
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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 7 kg of tea at ₹63 per kg with 7 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 11 kg of tea at ₹35 per kg with 11 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 3 kg of tea at ₹95 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹54 per kg with 6 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A grocer mixes 11 kg of tea at ₹110 per kg with 11 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.Rice at ₹66 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 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 grocer mixes 2 kg of tea at ₹68 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 12 kg of tea at ₹109 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.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?
  18. 18.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A 15-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?
  20. 20.A grocer mixes 5 kg of tea at ₹69 per kg with 10 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 8 kg of tea at ₹49 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹44 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 5 kg of tea at ₹78 per kg with 10 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹54 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹88 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 45-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?
  27. 27.A grocer mixes 8 kg of tea at ₹42 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 2 kg of tea at ₹101 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 80-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?
  32. 32.A grocer mixes 10 kg of tea at ₹33 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹51 per kg with 4 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹36 per kg with 8 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  37. 37.A grocer mixes 4 kg of tea at ₹112 per kg with 11 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 2 kg of tea at ₹92 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹26 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 56
  2. 65
  3. 111
  4. 2
  5. 66
  6. 4
  7. 103
  8. 68
  9. 20
  10. 6
  11. 15
  12. 80
  13. 40
  14. 93
  15. 50
  16. 6
  17. 60
  18. 15
  19. 9
  20. 95
  21. 73
  22. 71
  23. 62
  24. 42
  25. 92
  26. 10
  27. 39
  28. 50
  29. 50
  30. 89
  31. 10
  32. 45
  33. 56
  34. 20
  35. 59
  36. 3
  37. 101
  38. 71
  39. 32
  40. 80

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