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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 633 · 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 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  2. 2.A grocer mixes 8 kg of tea at ₹76 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.Rice at ₹32 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  5. 5.A grocer mixes 8 kg of tea at ₹112 per kg with 11 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  7. 7.A jug has 40 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?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.Rice at ₹24 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A grocer mixes 10 kg of tea at ₹46 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 25 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?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹22 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹72 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.A grocer mixes 4 kg of tea at ₹84 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹77 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹78 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 11 kg of tea at ₹57 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  22. 22.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  24. 24.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹89 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹43 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 30-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?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.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?
  32. 32.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  33. 33.Rice at ₹76 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹51 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.Rice at ₹39 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  38. 38.A 54-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?
  39. 39.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?
  40. 40.A grocer mixes 4 kg of tea at ₹68 per kg with 4 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 58
  3. 12
  4. 48
  5. 79
  6. 20
  7. 28
  8. 6
  9. 4
  10. 51
  11. 50
  12. 20
  13. 2
  14. 42
  15. 20
  16. 48
  17. 95
  18. 8
  19. 86
  20. 41
  21. 8
  22. 8
  23. 10
  24. 3
  25. 45
  26. 91
  27. 5
  28. 8
  29. 20
  30. 3
  31. 25
  32. 4
  33. 12
  34. 20
  35. 15
  36. 4
  37. 5
  38. 6
  39. 9
  40. 70

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