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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 788 · 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 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 : 2?
  2. 2.Rice at ₹31 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹74 per kg with 10 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹39 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹90 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.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 : 8?
  8. 8.Rice at ₹50 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹24 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 56-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?
  11. 11.A grocer mixes 5 kg of tea at ₹21 per kg with 9 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  14. 14.A grocer mixes 4 kg of tea at ₹104 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 40 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?
  17. 17.Rice at ₹34 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹45 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 11 kg of tea at ₹112 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 16-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?
  22. 22.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?
  23. 23.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?
  24. 24.A grocer mixes 9 kg of tea at ₹87 per kg with 11 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹49 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  27. 27.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?
  28. 28.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?
  29. 29.A grocer mixes 12 kg of tea at ₹39 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹26 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹91 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 40-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?
  33. 33.Rice at ₹21 per kg is mixed with rice at ₹56 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?
  34. 34.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 21-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?
  36. 36.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  37. 37.Rice at ₹65 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  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.A grocer mixes 6 kg of tea at ₹67 per kg with 8 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 15
  2. 24
  3. 99
  4. 42
  5. 54
  6. 6
  7. 20
  8. 8
  9. 29
  10. 8
  11. 30
  12. 70
  13. 6
  14. 81
  15. 50
  16. 60
  17. 4
  18. 70
  19. 10
  20. 71
  21. 8
  22. 75
  23. 80
  24. 65
  25. 30
  26. 24
  27. 52
  28. 50
  29. 51
  30. 9
  31. 82
  32. 12
  33. 4
  34. 50
  35. 3
  36. 20
  37. 10
  38. 10
  39. 75
  40. 47

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