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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 150 · 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 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?
  2. 2.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  3. 3.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?
  4. 4.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A 27-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?
  6. 6.A grocer mixes 8 kg of tea at ₹84 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹42 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹77 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 14 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹66 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.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 : 3?
  13. 13.A jug has 50 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?
  14. 14.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?
  15. 15.Rice at ₹45 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.Rice at ₹42 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹20 per kg with 5 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  21. 21.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A grocer mixes 6 kg of tea at ₹99 per kg with 6 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A grocer mixes 4 kg of tea at ₹57 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹46 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 9 kg of tea at ₹33 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹54 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.Rice at ₹64 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 35 kg of the dearer rice?
  33. 33.A 36-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?
  34. 34.A grocer mixes 3 kg of tea at ₹47 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  36. 36.Rice at ₹48 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.A grocer mixes 6 kg of tea at ₹26 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 25 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?
  39. 39.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?
  40. 40.A 12-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?

Answer key

  1. 36
  2. 6
  3. 80
  4. 6
  5. 27
  6. 76
  7. 5
  8. 60
  9. 35
  10. 44
  11. 25
  12. 2
  13. 50
  14. 3
  15. 8
  16. 21
  17. 10
  18. 51
  19. 3
  20. 7
  21. 7
  22. 109
  23. 32
  24. 67
  25. 80
  26. 31
  27. 60
  28. 10
  29. 50
  30. 53
  31. 20
  32. 21
  33. 18
  34. 55
  35. 8
  36. 5
  37. 27
  38. 50
  39. 6
  40. 4

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