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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 668 · 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 40 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?
  2. 2.A jug has 50 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?
  3. 3.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  4. 4.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  7. 7.Rice at ₹53 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.A grocer mixes 6 kg of tea at ₹69 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.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 : 4?
  11. 11.A grocer mixes 12 kg of tea at ₹35 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 35-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?
  13. 13.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.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?
  15. 15.A jug has 10 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?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹92 per kg with 3 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  19. 19.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.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?
  21. 21.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A grocer mixes 8 kg of tea at ₹78 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹74 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.Rice at ₹39 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  27. 27.Rice at ₹61 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A grocer mixes 7 kg of tea at ₹61 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.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?
  31. 31.Rice at ₹79 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹31 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 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?
  34. 34.A 36-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?
  35. 35.Rice at ₹37 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.A grocer mixes 10 kg of tea at ₹78 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹69 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?
  38. 38.A 88-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?
  39. 39.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹74 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 52
  2. 50
  3. 8
  4. 28
  5. 20
  6. 12
  7. 4
  8. 65
  9. 18
  10. 6
  11. 55
  12. 5
  13. 1
  14. 76
  15. 40
  16. 7
  17. 97
  18. 20
  19. 3
  20. 50
  21. 36
  22. 10
  23. 10
  24. 73
  25. 12
  26. 3
  27. 12
  28. 78
  29. 40
  30. 25
  31. 24
  32. 94
  33. 36
  34. 16
  35. 8
  36. 89
  37. 18
  38. 32
  39. 75
  40. 42

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