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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 402 · 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 10-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?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.A jug has 25 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?
  5. 5.A grocer mixes 12 kg of tea at ₹44 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 8 kg of tea at ₹99 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹77 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹21 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹53 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 3 kg of tea at ₹21 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹47 per kg is mixed with rice at ₹67 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?
  16. 16.A grocer mixes 8 kg of tea at ₹114 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹65 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 2 kg of tea at ₹40 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 12 kg of tea at ₹47 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  25. 25.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.A grocer mixes 3 kg of tea at ₹33 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹54 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.Rice at ₹64 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  32. 32.Rice at ₹68 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.A grocer mixes 6 kg of tea at ₹90 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹36 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.A grocer mixes 9 kg of tea at ₹62 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 3 kg of tea at ₹54 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 6 kg of tea at ₹44 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 8 kg of tea at ₹23 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?

Answer key

  1. 2
  2. 2
  3. 12
  4. 50
  5. 38
  6. 68
  7. 69
  8. 1
  9. 77
  10. 7
  11. 50
  12. 56
  13. 18
  14. 60
  15. 1
  16. 108
  17. 36
  18. 4
  19. 68
  20. 47
  21. 25
  22. 46
  23. 60
  24. 24
  25. 7
  26. 45
  27. 6
  28. 16
  29. 10
  30. 5
  31. 4
  32. 2
  33. 70
  34. 20
  35. 4
  36. 56
  37. 75
  38. 40
  39. 50
  40. 4

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