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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 747 · 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 20-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?
  2. 2.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  4. 4.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?
  5. 5.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A grocer mixes 5 kg of tea at ₹79 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  9. 9.A grocer mixes 7 kg of tea at ₹48 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹34 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  12. 12.A jug has 40 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?
  13. 13.Rice at ₹57 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.Rice at ₹58 per kg is mixed with rice at ₹135 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?
  15. 15.Rice at ₹68 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.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 : 1?
  18. 18.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 2 : 3?
  19. 19.Rice at ₹37 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 12-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?
  23. 23.A 63-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?
  24. 24.A grocer mixes 8 kg of tea at ₹85 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.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 1 : 2?
  27. 27.A grocer mixes 2 kg of tea at ₹98 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹20 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.A grocer mixes 5 kg of tea at ₹37 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  32. 32.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?
  33. 33.A grocer mixes 11 kg of tea at ₹29 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  35. 35.Rice at ₹66 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹28 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  38. 38.A grocer mixes 7 kg of tea at ₹48 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 10
  2. 21
  3. 9
  4. 70
  5. 6
  6. 93
  7. 12
  8. 3
  9. 67
  10. 20
  11. 8
  12. 28
  13. 12
  14. 40
  15. 16
  16. 20
  17. 9
  18. 10
  19. 9
  20. 2
  21. 64
  22. 8
  23. 28
  24. 94
  25. 24
  26. 40
  27. 50
  28. 48
  29. 4
  30. 31
  31. 8
  32. 25
  33. 65
  34. 16
  35. 12
  36. 3
  37. 24
  38. 40
  39. 24
  40. 30

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