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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 627 · 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.Rice at ₹28 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  3. 3.Rice at ₹63 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A 63-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?
  5. 5.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  6. 6.A grocer mixes 12 kg of tea at ₹112 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  8. 8.Rice at ₹22 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹49 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 32 kg of the dearer rice?
  14. 14.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  15. 15.A grocer mixes 6 kg of tea at ₹116 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.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?
  18. 18.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹49 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A 24-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?
  23. 23.A grocer mixes 8 kg of tea at ₹102 per kg with 12 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹87 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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 : 3?
  29. 29.Rice at ₹80 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.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?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.Rice at ₹24 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.Rice at ₹25 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 6 kg of tea at ₹60 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹101 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹30 per kg with 9 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹44 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 35
  2. 12
  3. 8
  4. 7
  5. 16
  6. 84
  7. 16
  8. 24
  9. 21
  10. 60
  11. 4
  12. 70
  13. 24
  14. 24
  15. 93
  16. 21
  17. 70
  18. 75
  19. 12
  20. 45
  21. 40
  22. 3
  23. 93
  24. 8
  25. 4
  26. 60
  27. 79
  28. 18
  29. 1
  30. 50
  31. 6
  32. 18
  33. 30
  34. 15
  35. 40
  36. 72
  37. 69
  38. 24
  39. 57
  40. 71

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