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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 200 · 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 ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹79 per kg with 5 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  7. 7.A 40-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?
  8. 8.Rice at ₹51 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 14 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹98 per kg with 3 kg of tea at ₹32 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 : 7?
  11. 11.Rice at ₹20 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.Rice at ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  13. 13.Rice at ₹39 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.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?
  16. 16.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A grocer mixes 12 kg of tea at ₹104 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹25 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 3 kg of tea at ₹39 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹80 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  25. 25.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  26. 26.Rice at ₹53 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹52 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  32. 32.A grocer mixes 2 kg of tea at ₹77 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.Rice at ₹44 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹40 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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 2 : 9?
  37. 37.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  38. 38.A grocer mixes 10 kg of tea at ₹79 per kg with 5 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹28 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 36
  3. 80
  4. 18
  5. 2
  6. 8
  7. 8
  8. 35
  9. 65
  10. 36
  11. 15
  12. 6
  13. 30
  14. 42
  15. 25
  16. 14
  17. 81
  18. 45
  19. 67
  20. 20
  21. 55
  22. 24
  23. 56
  24. 18
  25. 20
  26. 24
  27. 25
  28. 10
  29. 56
  30. 5
  31. 27
  32. 80
  33. 10
  34. 6
  35. 30
  36. 16
  37. 20
  38. 83
  39. 3
  40. 43

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