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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 341 · 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 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  2. 2.A grocer mixes 9 kg of tea at ₹87 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.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?
  5. 5.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  6. 6.A grocer mixes 6 kg of tea at ₹46 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 9 kg of tea at ₹93 per kg with 11 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 5 kg of tea at ₹79 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 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?
  10. 10.A grocer mixes 4 kg of tea at ₹78 per kg with 12 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹55 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  17. 17.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?
  18. 18.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹62 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  21. 21.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?
  22. 22.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  23. 23.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  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 ₹45 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹57 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A grocer mixes 9 kg of tea at ₹47 per kg with 9 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹36 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.Rice at ₹53 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.A jug has 40 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?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.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?
  40. 40.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 2 : 3?

Answer key

  1. 16
  2. 79
  3. 1
  4. 40
  5. 10
  6. 88
  7. 82
  8. 85
  9. 60
  10. 42
  11. 30
  12. 60
  13. 60
  14. 60
  15. 30
  16. 12
  17. 50
  18. 4
  19. 44
  20. 18
  21. 76
  22. 10
  23. 12
  24. 2
  25. 70
  26. 18
  27. 15
  28. 35
  29. 50
  30. 25
  31. 100
  32. 20
  33. 21
  34. 25
  35. 24
  36. 40
  37. 10
  38. 6
  39. 75
  40. 9

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