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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 950 · 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 ₹22 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.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?
  3. 3.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?
  4. 4.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.Rice at ₹67 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.A grocer mixes 7 kg of tea at ₹45 per kg with 7 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.Rice at ₹63 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹21 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.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 12 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹31 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  16. 16.Rice at ₹33 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 8 kg of tea at ₹113 per kg with 11 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹68 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹44 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 7 kg of tea at ₹20 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹108 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹76 per kg is mixed with rice at ₹124 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?
  25. 25.A jug has 20 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.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.A 20-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?
  29. 29.A grocer mixes 9 kg of tea at ₹49 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹75 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.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 3 : 4?
  33. 33.A 49-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?
  34. 34.A grocer mixes 4 kg of tea at ₹25 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 16-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?
  37. 37.Rice at ₹73 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  39. 39.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 : 1?
  40. 40.Rice at ₹49 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 21
  2. 50
  3. 52
  4. 30
  5. 6
  6. 6
  7. 60
  8. 4
  9. 10
  10. 90
  11. 80
  12. 3
  13. 55
  14. 76
  15. 24
  16. 12
  17. 2
  18. 80
  19. 15
  20. 50
  21. 1
  22. 22
  23. 111
  24. 30
  25. 60
  26. 2
  27. 3
  28. 15
  29. 65
  30. 24
  31. 2
  32. 20
  33. 28
  34. 34
  35. 50
  36. 6
  37. 6
  38. 4
  39. 8
  40. 2

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