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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 293 · 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 33-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?
  2. 2.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?
  3. 3.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.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 40 kg of the dearer rice?
  5. 5.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  6. 6.Rice at ₹44 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.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 21 kg of the dearer rice?
  8. 8.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  9. 9.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?
  10. 10.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?
  11. 11.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A jug has 10 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?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A 66-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?
  17. 17.A grocer mixes 8 kg of tea at ₹47 per kg with 9 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹27 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  20. 20.Rice at ₹45 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹34 per kg with 3 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹83 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A grocer mixes 7 kg of tea at ₹106 per kg with 7 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A jug has 10 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?
  30. 30.A grocer mixes 9 kg of tea at ₹98 per kg with 6 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 6 kg of tea at ₹107 per kg with 9 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹33 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  34. 34.A grocer mixes 2 kg of tea at ₹24 per kg with 11 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  36. 36.Rice at ₹47 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  37. 37.A jug has 10 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?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  39. 39.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  40. 40.Rice at ₹28 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?

Answer key

  1. 12
  2. 36
  3. 40
  4. 32
  5. 4
  6. 6
  7. 28
  8. 16
  9. 50
  10. 55
  11. 50
  12. 12
  13. 40
  14. 15
  15. 5
  16. 24
  17. 83
  18. 48
  19. 8
  20. 6
  21. 67
  22. 60
  23. 16
  24. 25
  25. 79
  26. 28
  27. 98
  28. 9
  29. 60
  30. 100
  31. 71
  32. 35
  33. 9
  34. 68
  35. 16
  36. 28
  37. 80
  38. 6
  39. 3
  40. 40

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