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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 581 · 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.A grocer mixes 4 kg of tea at ₹87 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 3 kg of tea at ₹120 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹47 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.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?
  6. 6.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.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 : 6?
  8. 8.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?
  9. 9.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 6 kg of tea at ₹70 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.A grocer mixes 12 kg of tea at ₹24 per kg with 10 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹44 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  14. 14.A grocer mixes 10 kg of tea at ₹26 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹50 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹66 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A grocer mixes 8 kg of tea at ₹27 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  22. 22.A grocer mixes 11 kg of tea at ₹38 per kg with 11 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.A grocer mixes 5 kg of tea at ₹31 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  26. 26.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 : 9?
  27. 27.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 8 kg of tea at ₹113 per kg with 8 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 6 kg of tea at ₹104 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹57 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  32. 32.A 77-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?
  33. 33.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 8 kg of tea at ₹52 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹92 per kg with 11 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  37. 37.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 71
  2. 96
  3. 61
  4. 2
  5. 8
  6. 10
  7. 18
  8. 60
  9. 40
  10. 77
  11. 28
  12. 29
  13. 7
  14. 25
  15. 20
  16. 106
  17. 3
  18. 24
  19. 30
  20. 52
  21. 30
  22. 40
  23. 12
  24. 58
  25. 8
  26. 12
  27. 12
  28. 16
  29. 89
  30. 76
  31. 35
  32. 7
  33. 75
  34. 43
  35. 104
  36. 18
  37. 24
  38. 55
  39. 36
  40. 25

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