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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 688 · 40 questions
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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 ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  2. 2.Rice at ₹76 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹50 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 40 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?
  6. 6.A grocer mixes 3 kg of tea at ₹114 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  8. 8.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  11. 11.A grocer mixes 12 kg of tea at ₹72 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹77 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 5 kg of tea at ₹98 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹26 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹50 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?
  16. 16.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  17. 17.A grocer mixes 5 kg of tea at ₹107 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹89 per kg with 12 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 3 kg of tea at ₹39 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 9 kg of tea at ₹83 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 6 kg of tea at ₹70 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A grocer mixes 7 kg of tea at ₹71 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹36 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  29. 29.A grocer mixes 4 kg of tea at ₹110 per kg with 12 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.Rice at ₹62 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  32. 32.A 28-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?
  33. 33.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?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 7 kg of tea at ₹68 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 2 kg of tea at ₹62 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 48-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?
  40. 40.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 35
  2. 12
  3. 8
  4. 74
  5. 40
  6. 102
  7. 12
  8. 5
  9. 4
  10. 18
  11. 87
  12. 89
  13. 91
  14. 10
  15. 9
  16. 2
  17. 93
  18. 32
  19. 14
  20. 53
  21. 27
  22. 81
  23. 86
  24. 25
  25. 12
  26. 75
  27. 7
  28. 21
  29. 104
  30. 1
  31. 8
  32. 16
  33. 50
  34. 60
  35. 53
  36. 12
  37. 80
  38. 87
  39. 6
  40. 9

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