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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 693 · 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 ₹77 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.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 : 3?
  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 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?
  5. 5.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  6. 6.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?
  7. 7.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  8. 8.A 27-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?
  9. 9.A 30-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?
  10. 10.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  11. 11.Rice at ₹20 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 16 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹105 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  15. 15.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹20 per kg with 7 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 42-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?
  19. 19.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  22. 22.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.A grocer mixes 7 kg of tea at ₹41 per kg with 7 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹27 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.A 45-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?
  26. 26.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹95 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  29. 29.A grocer mixes 4 kg of tea at ₹26 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 11 kg of tea at ₹108 per kg with 11 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 66-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 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 : 8?
  33. 33.Rice at ₹42 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  34. 34.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  35. 35.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  36. 36.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?
  37. 37.A grocer mixes 5 kg of tea at ₹92 per kg with 7 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 10
  2. 4
  3. 52
  4. 2
  5. 2
  6. 60
  7. 5
  8. 12
  9. 6
  10. 12
  11. 24
  12. 84
  13. 12
  14. 6
  15. 7
  16. 6
  17. 25
  18. 7
  19. 75
  20. 60
  21. 4
  22. 36
  23. 77
  24. 15
  25. 36
  26. 30
  27. 59
  28. 12
  29. 31
  30. 92
  31. 24
  32. 24
  33. 32
  34. 10
  35. 20
  36. 8
  37. 57
  38. 50
  39. 3
  40. 50

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