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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 821 · 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 ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  2. 2.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  3. 3.A grocer mixes 5 kg of tea at ₹91 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  6. 6.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹20 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹66 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.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?
  13. 13.A grocer mixes 8 kg of tea at ₹35 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹45 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.A 64-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?
  20. 20.A grocer mixes 6 kg of tea at ₹91 per kg with 11 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 20 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?
  22. 22.A grocer mixes 9 kg of tea at ₹23 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 21-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?
  24. 24.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  26. 26.A grocer mixes 11 kg of tea at ₹79 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 11 kg of tea at ₹97 per kg with 5 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹59 per kg is mixed with rice at ₹147 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.A grocer mixes 12 kg of tea at ₹40 per kg with 5 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.Rice at ₹21 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  33. 33.Rice at ₹33 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  36. 36.Rice at ₹59 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 15 kg of the dearer rice?
  37. 37.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  38. 38.Rice at ₹54 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹47 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 25 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?

Answer key

  1. 3
  2. 4
  3. 76
  4. 50
  5. 60
  6. 50
  7. 32
  8. 16
  9. 64
  10. 9
  11. 50
  12. 80
  13. 47
  14. 36
  15. 6
  16. 40
  17. 4
  18. 10
  19. 8
  20. 80
  21. 50
  22. 71
  23. 3
  24. 15
  25. 16
  26. 75
  27. 87
  28. 20
  29. 55
  30. 15
  31. 2
  32. 30
  33. 35
  34. 28
  35. 7
  36. 3
  37. 18
  38. 2
  39. 62
  40. 50

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