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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 418 · 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.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  2. 2.Rice at ₹24 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹43 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹41 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A grocer mixes 2 kg of tea at ₹33 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.Rice at ₹32 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 8 kg of tea at ₹93 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹84 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 7 kg of tea at ₹90 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹40 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹98 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹38 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹76 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A grocer mixes 11 kg of tea at ₹112 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.Rice at ₹70 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  23. 23.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  24. 24.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  25. 25.A jug has 40 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?
  26. 26.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.A 80-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.A grocer mixes 12 kg of tea at ₹84 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  30. 30.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  31. 31.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  32. 32.A grocer mixes 4 kg of tea at ₹45 per kg with 7 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.Rice at ₹78 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.Rice at ₹57 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.Rice at ₹79 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  38. 38.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  40. 40.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 2 kg of the dearer rice?

Answer key

  1. 4
  2. 42
  3. 6
  4. 8
  5. 70
  6. 8
  7. 77
  8. 25
  9. 52
  10. 15
  11. 90
  12. 98
  13. 100
  14. 12
  15. 63
  16. 5
  17. 50
  18. 30
  19. 4
  20. 72
  21. 9
  22. 28
  23. 20
  24. 8
  25. 60
  26. 2
  27. 20
  28. 66
  29. 16
  30. 9
  31. 8
  32. 52
  33. 2
  34. 12
  35. 6
  36. 4
  37. 20
  38. 6
  39. 32
  40. 10

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