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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 300 · 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 jug has 20 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?
  2. 2.A grocer mixes 3 kg of tea at ₹99 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹73 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  5. 5.A jug has 40 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?
  6. 6.A grocer mixes 4 kg of tea at ₹88 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹72 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹45 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹85 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 30-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?
  15. 15.A 40-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?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 6 kg of tea at ₹96 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹46 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹66 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.Rice at ₹68 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹28 per kg with 9 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.Rice at ₹67 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 6 kg of tea at ₹117 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.Rice at ₹64 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.A 16-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?
  33. 33.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹75 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹30 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹81 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 7 kg of tea at ₹22 per kg with 9 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 28
  2. 115
  3. 30
  4. 8
  5. 52
  6. 82
  7. 35
  8. 50
  9. 21
  10. 75
  11. 25
  12. 21
  13. 78
  14. 12
  15. 16
  16. 64
  17. 78
  18. 3
  19. 66
  20. 16
  21. 3
  22. 24
  23. 88
  24. 24
  25. 70
  26. 4
  27. 24
  28. 15
  29. 101
  30. 32
  31. 15
  32. 2
  33. 6
  34. 36
  35. 40
  36. 28
  37. 84
  38. 15
  39. 70
  40. 49

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