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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 566 · 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 ₹72 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.Rice at ₹62 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹61 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹78 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A grocer mixes 9 kg of tea at ₹21 per kg with 4 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹28 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹40 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.Rice at ₹80 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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 3 : 8?
  10. 10.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  11. 11.A jug has 20 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?
  12. 12.Rice at ₹42 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.A grocer mixes 5 kg of tea at ₹100 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹60 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹104 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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 2 : 11?
  18. 18.A grocer mixes 2 kg of tea at ₹113 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 12 kg of tea at ₹84 per kg with 12 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹78 per kg with 2 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.A grocer mixes 5 kg of tea at ₹78 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  28. 28.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 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 ₹54 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹76 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 8 kg of tea at ₹46 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 24-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?
  35. 35.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  36. 36.A grocer mixes 12 kg of tea at ₹86 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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 : 1?
  38. 38.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 3 kg of the dearer rice?
  39. 39.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  40. 40.A grocer mixes 7 kg of tea at ₹63 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 2
  3. 46
  4. 15
  5. 41
  6. 25
  7. 6
  8. 2
  9. 28
  10. 24
  11. 52
  12. 8
  13. 86
  14. 15
  15. 9
  16. 76
  17. 12
  18. 49
  19. 25
  20. 76
  21. 97
  22. 96
  23. 36
  24. 50
  25. 66
  26. 15
  27. 16
  28. 7
  29. 8
  30. 50
  31. 14
  32. 81
  33. 51
  34. 24
  35. 40
  36. 82
  37. 6
  38. 6
  39. 20
  40. 51

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