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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 1 · 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 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  2. 2.Rice at ₹34 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 40 kg of the dearer rice?
  3. 3.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  4. 4.A grocer mixes 11 kg of tea at ₹75 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A jug has 20 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?
  7. 7.A grocer mixes 10 kg of tea at ₹95 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹38 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  9. 9.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 2 : 3?
  10. 10.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?
  11. 11.Rice at ₹76 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  12. 12.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.Rice at ₹31 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.A jug has 10 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?
  17. 17.A 130-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?
  18. 18.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 15 kg of the dearer rice?
  19. 19.A jug has 10 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?
  20. 20.Rice at ₹56 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  21. 21.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 : 2?
  22. 22.A grocer mixes 11 kg of tea at ₹111 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹113 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  27. 27.A grocer mixes 4 kg of tea at ₹94 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  32. 32.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  33. 33.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  34. 34.A grocer mixes 3 kg of tea at ₹42 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 7 kg of tea at ₹98 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹21 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 12 kg of tea at ₹56 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 9
  2. 16
  3. 3
  4. 64
  5. 28
  6. 60
  7. 82
  8. 7
  9. 3
  10. 60
  11. 35
  12. 2
  13. 8
  14. 25
  15. 35
  16. 75
  17. 40
  18. 9
  19. 55
  20. 30
  21. 4
  22. 97
  23. 16
  24. 50
  25. 116
  26. 10
  27. 89
  28. 2
  29. 3
  30. 66
  31. 10
  32. 16
  33. 8
  34. 77
  35. 102
  36. 15
  37. 50
  38. 52
  39. 7
  40. 5

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