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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 175 · 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 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?
  2. 2.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹63 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹32 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 11 kg of tea at ₹84 per kg with 11 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.Rice at ₹76 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹109 per kg with 4 kg of tea at ₹25 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 70-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?
  14. 14.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  15. 15.A grocer mixes 2 kg of tea at ₹21 per kg with 11 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹120 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 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?
  18. 18.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹70 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 6 kg of tea at ₹71 per kg with 6 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  23. 23.Rice at ₹46 per kg is mixed with rice at ₹88 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?
  24. 24.Rice at ₹79 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 7 kg of tea at ₹54 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 8 kg of tea at ₹64 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹55 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹61 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 4 kg of tea at ₹31 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.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?
  33. 33.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹35 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 4 kg of the dearer rice?
  35. 35.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  36. 36.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A grocer mixes 5 kg of tea at ₹120 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.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 : 5?

Answer key

  1. 60
  2. 80
  3. 1
  4. 40
  5. 3
  6. 86
  7. 87
  8. 3
  9. 10
  10. 21
  11. 53
  12. 60
  13. 14
  14. 9
  15. 87
  16. 84
  17. 50
  18. 12
  19. 68
  20. 91
  21. 89
  22. 36
  23. 1
  24. 24
  25. 36
  26. 84
  27. 69
  28. 15
  29. 57
  30. 55
  31. 2
  32. 52
  33. 25
  34. 16
  35. 12
  36. 2
  37. 25
  38. 108
  39. 50
  40. 12

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