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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 880 · 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 4 kg of tea at ₹66 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 15 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 9 kg of tea at ₹79 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  8. 8.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹61 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 36-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?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  13. 13.A grocer mixes 6 kg of tea at ₹96 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  15. 15.Rice at ₹73 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 7 kg of the dearer rice?
  16. 16.A grocer mixes 5 kg of tea at ₹111 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹49 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  18. 18.A grocer mixes 10 kg of tea at ₹41 per kg with 11 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 3 kg of tea at ₹109 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 5 kg of tea at ₹28 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 50 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?
  22. 22.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹105 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.A grocer mixes 7 kg of tea at ₹110 per kg with 7 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.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?
  28. 28.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  29. 29.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  30. 30.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 : 10?
  31. 31.A grocer mixes 8 kg of tea at ₹109 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹72 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 10 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹81 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.Rice at ₹24 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹74 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A grocer mixes 7 kg of tea at ₹86 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹29 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹111 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 65
  2. 4
  3. 14
  4. 64
  5. 55
  6. 67
  7. 20
  8. 20
  9. 41
  10. 18
  11. 1
  12. 8
  13. 100
  14. 9
  15. 28
  16. 69
  17. 25
  18. 30
  19. 84
  20. 56
  21. 50
  22. 5
  23. 84
  24. 8
  25. 97
  26. 36
  27. 40
  28. 8
  29. 2
  30. 9
  31. 64
  32. 8
  33. 83
  34. 50
  35. 50
  36. 1
  37. 25
  38. 78
  39. 43
  40. 80

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