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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 285 · 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 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  2. 2.A grocer mixes 3 kg of tea at ₹83 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 21-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?
  4. 4.A grocer mixes 12 kg of tea at ₹110 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 12 kg of tea at ₹26 per kg with 12 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹60 per kg with 2 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 4 kg of tea at ₹75 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹57 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹30 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A 70-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?
  13. 13.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.Rice at ₹67 per kg is mixed with rice at ₹77 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?
  15. 15.A grocer mixes 3 kg of tea at ₹77 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹62 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹109 per kg with 7 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹38 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  20. 20.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  21. 21.A grocer mixes 8 kg of tea at ₹40 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A grocer mixes 4 kg of tea at ₹31 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹73 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹110 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  29. 29.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  31. 31.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  32. 32.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 10 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 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  35. 35.A grocer mixes 5 kg of tea at ₹82 per kg with 10 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹47 per kg with 12 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹105 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  39. 39.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?
  40. 40.A grocer mixes 3 kg of tea at ₹72 per kg with 3 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 65
  3. 9
  4. 85
  5. 73
  6. 72
  7. 80
  8. 65
  9. 8
  10. 4
  11. 3
  12. 30
  13. 18
  14. 12
  15. 75
  16. 84
  17. 74
  18. 66
  19. 21
  20. 24
  21. 28
  22. 5
  23. 36
  24. 65
  25. 85
  26. 25
  27. 27
  28. 12
  29. 50
  30. 6
  31. 9
  32. 69
  33. 40
  34. 32
  35. 90
  36. 68
  37. 79
  38. 40
  39. 25
  40. 76

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