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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 482 · 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 jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.Rice at ₹38 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.Rice at ₹59 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹99 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  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 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.Rice at ₹61 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 64-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?
  14. 14.A jug has 40 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?
  15. 15.A grocer mixes 12 kg of tea at ₹103 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹40 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.Rice at ₹71 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  18. 18.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  20. 20.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹47 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹67 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A 25-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?
  26. 26.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.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?
  28. 28.A jug has 20 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?
  29. 29.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 7 kg of tea at ₹53 per kg with 8 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  32. 32.A 24-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?
  33. 33.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 7 : 8?
  34. 34.A grocer mixes 9 kg of tea at ₹53 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  36. 36.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 : 5?
  37. 37.Rice at ₹34 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A 12-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?
  39. 39.A grocer mixes 5 kg of tea at ₹84 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 10 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?

Answer key

  1. 28
  2. 18
  3. 4
  4. 25
  5. 10
  6. 81
  7. 40
  8. 50
  9. 27
  10. 3
  11. 2
  12. 25
  13. 8
  14. 25
  15. 66
  16. 18
  17. 30
  18. 15
  19. 7
  20. 32
  21. 5
  22. 3
  23. 49
  24. 2
  25. 10
  26. 8
  27. 40
  28. 70
  29. 60
  30. 77
  31. 14
  32. 12
  33. 40
  34. 48
  35. 18
  36. 30
  37. 5
  38. 4
  39. 66
  40. 55

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