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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 430 · 40 questions
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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 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  2. 2.Rice at ₹46 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 2 kg of the dearer rice?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.A grocer mixes 9 kg of tea at ₹44 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 5 kg of tea at ₹56 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹58 per kg with 2 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  10. 10.A 6-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?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  13. 13.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  15. 15.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?
  16. 16.A grocer mixes 3 kg of tea at ₹60 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹20 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A 49-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?
  20. 20.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.A 27-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?
  24. 24.A 24-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?
  25. 25.A grocer mixes 10 kg of tea at ₹106 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A 77-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  28. 28.Rice at ₹50 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  31. 31.A jug has 10 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?
  32. 32.Rice at ₹74 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.Rice at ₹53 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.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?
  36. 36.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?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹34 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  40. 40.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?

Answer key

  1. 7
  2. 1
  3. 20
  4. 3
  5. 60
  6. 10
  7. 59
  8. 73
  9. 7
  10. 6
  11. 6
  12. 8
  13. 4
  14. 5
  15. 25
  16. 104
  17. 53
  18. 4
  19. 28
  20. 10
  21. 50
  22. 60
  23. 9
  24. 12
  25. 97
  26. 20
  27. 28
  28. 6
  29. 48
  30. 9
  31. 70
  32. 25
  33. 15
  34. 10
  35. 75
  36. 52
  37. 6
  38. 58
  39. 8
  40. 70

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