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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 25 · 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 ₹35 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 3 kg of tea at ₹78 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  5. 5.A 77-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?
  6. 6.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹35 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 56-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?
  9. 9.Rice at ₹48 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.Rice at ₹29 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹95 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 7 kg of tea at ₹71 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 7 kg of tea at ₹82 per kg with 7 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹67 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 12 kg of tea at ₹100 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 80-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?
  18. 18.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?
  19. 19.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 : 4?
  20. 20.Rice at ₹54 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A grocer mixes 4 kg of tea at ₹29 per kg with 7 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 12 kg of tea at ₹50 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹74 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A jug has 10 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?
  25. 25.A grocer mixes 11 kg of tea at ₹83 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹51 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.Rice at ₹40 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  29. 29.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?
  30. 30.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  31. 31.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?
  32. 32.Rice at ₹63 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  33. 33.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  34. 34.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  35. 35.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹55 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 4 kg of tea at ₹90 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 8
  2. 80
  3. 70
  4. 24
  5. 14
  6. 12
  7. 36
  8. 28
  9. 9
  10. 30
  11. 63
  12. 59
  13. 62
  14. 14
  15. 50
  16. 79
  17. 40
  18. 36
  19. 3
  20. 30
  21. 43
  22. 55
  23. 8
  24. 70
  25. 59
  26. 86
  27. 8
  28. 30
  29. 50
  30. 9
  31. 50
  32. 21
  33. 5
  34. 27
  35. 57
  36. 36
  37. 30
  38. 70
  39. 45
  40. 25

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