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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 782 · 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 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  2. 2.Rice at ₹62 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.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 1 : 2?
  4. 4.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 : 1?
  5. 5.A grocer mixes 3 kg of tea at ₹54 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 4 : 11?
  7. 7.Rice at ₹73 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.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?
  11. 11.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 7 kg of tea at ₹89 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹63 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A 60-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?
  18. 18.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.Rice at ₹53 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  23. 23.Rice at ₹21 per kg is mixed with rice at ₹24 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹59 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.Rice at ₹38 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  30. 30.A grocer mixes 3 kg of tea at ₹59 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 6 kg of tea at ₹31 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 5 kg of tea at ₹40 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹34 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A grocer mixes 10 kg of tea at ₹28 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹41 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.Rice at ₹68 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  40. 40.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 24
  2. 6
  3. 20
  4. 10
  5. 74
  6. 12
  7. 24
  8. 10
  9. 6
  10. 52
  11. 50
  12. 68
  13. 75
  14. 65
  15. 9
  16. 5
  17. 40
  18. 5
  19. 36
  20. 16
  21. 12
  22. 36
  23. 3
  24. 6
  25. 3
  26. 16
  27. 8
  28. 5
  29. 18
  30. 67
  31. 70
  32. 50
  33. 95
  34. 5
  35. 18
  36. 20
  37. 39
  38. 8
  39. 28
  40. 2

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