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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 85 · 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.Rice at ₹74 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 15 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹20 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.A jug has 20 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?
  5. 5.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.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?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  8. 8.A grocer mixes 11 kg of tea at ₹77 per kg with 8 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 9 kg of tea at ₹109 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 6-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?
  11. 11.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  12. 12.A grocer mixes 5 kg of tea at ₹93 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  15. 15.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  16. 16.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?
  17. 17.A grocer mixes 2 kg of tea at ₹47 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹34 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹74 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.Rice at ₹65 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  27. 27.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 7 : 10?
  28. 28.A grocer mixes 9 kg of tea at ₹71 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹59 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 11 kg of tea at ₹73 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  33. 33.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  34. 34.A grocer mixes 3 kg of tea at ₹116 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹67 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹102 per kg with 10 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 39-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?
  39. 39.A grocer mixes 9 kg of tea at ₹29 per kg with 9 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 10
  2. 52
  3. 18
  4. 70
  5. 60
  6. 50
  7. 28
  8. 85
  9. 88
  10. 2
  11. 10
  12. 90
  13. 3
  14. 20
  15. 8
  16. 25
  17. 37
  18. 4
  19. 56
  20. 8
  21. 10
  22. 76
  23. 60
  24. 50
  25. 2
  26. 21
  27. 24
  28. 77
  29. 25
  30. 1
  31. 77
  32. 8
  33. 32
  34. 104
  35. 28
  36. 107
  37. 42
  38. 12
  39. 53
  40. 30

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