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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 146 · 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 2 kg of tea at ₹71 per kg with 11 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A 72-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?
  4. 4.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?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹34 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  12. 12.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 : 5?
  13. 13.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?
  14. 14.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.Rice at ₹62 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  16. 16.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹74 per kg with 7 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹57 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  20. 20.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.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?
  22. 22.A grocer mixes 8 kg of tea at ₹27 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A 56-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?
  25. 25.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹59 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹101 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  29. 29.A grocer mixes 8 kg of tea at ₹89 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹47 per kg is mixed with rice at ₹89 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?
  31. 31.A grocer mixes 10 kg of tea at ₹72 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹34 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  34. 34.A jug has 20 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?
  35. 35.Rice at ₹22 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹42 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.A grocer mixes 8 kg of tea at ₹37 per kg with 10 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  40. 40.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?

Answer key

  1. 93
  2. 8
  3. 18
  4. 60
  5. 6
  6. 12
  7. 8
  8. 38
  9. 50
  10. 102
  11. 8
  12. 16
  13. 60
  14. 4
  15. 8
  16. 40
  17. 82
  18. 10
  19. 40
  20. 50
  21. 50
  22. 41
  23. 4
  24. 8
  25. 12
  26. 77
  27. 74
  28. 3
  29. 95
  30. 2
  31. 80
  32. 10
  33. 8
  34. 55
  35. 5
  36. 8
  37. 67
  38. 2
  39. 28
  40. 3

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