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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 337 · 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 ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.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?
  3. 3.A grocer mixes 8 kg of tea at ₹53 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 7 kg of tea at ₹41 per kg with 7 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 10 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?
  6. 6.Rice at ₹64 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.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?
  9. 9.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  11. 11.A 27-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?
  12. 12.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.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?
  14. 14.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  15. 15.A grocer mixes 7 kg of tea at ₹38 per kg with 7 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹103 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹65 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.A grocer mixes 10 kg of tea at ₹117 per kg with 5 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 7 kg of tea at ₹79 per kg with 7 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A jug has 40 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?
  22. 22.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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?
  25. 25.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  26. 26.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?
  27. 27.A grocer mixes 11 kg of tea at ₹42 per kg with 6 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 56-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?
  29. 29.A grocer mixes 10 kg of tea at ₹54 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.Rice at ₹41 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  34. 34.Rice at ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A jug has 20 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?
  38. 38.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  39. 39.A jug has 10 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?
  40. 40.A grocer mixes 4 kg of tea at ₹114 per kg with 11 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 25
  3. 63
  4. 39
  5. 68
  6. 30
  7. 40
  8. 50
  9. 24
  10. 16
  11. 36
  12. 8
  13. 70
  14. 30
  15. 44
  16. 75
  17. 7
  18. 93
  19. 83
  20. 60
  21. 28
  22. 3
  23. 36
  24. 40
  25. 32
  26. 70
  27. 36
  28. 14
  29. 41
  30. 12
  31. 25
  32. 12
  33. 3
  34. 3
  35. 15
  36. 24
  37. 40
  38. 21
  39. 80
  40. 103

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