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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 224 · 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.

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  1. 1.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?
  2. 2.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.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 4 : 7?
  4. 4.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  5. 5.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  6. 6.Rice at ₹55 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹47 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  12. 12.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  13. 13.Rice at ₹60 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  14. 14.Rice at ₹42 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 14 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹49 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.A grocer mixes 8 kg of tea at ₹116 per kg with 11 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹21 per kg is mixed with rice at ₹76 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?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹63 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A grocer mixes 8 kg of tea at ₹80 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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 3 : 2?
  29. 29.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  30. 30.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?
  31. 31.Rice at ₹62 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹78 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  38. 38.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?
  39. 39.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  40. 40.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 60
  2. 76
  3. 32
  4. 5
  5. 7
  6. 4
  7. 53
  8. 20
  9. 75
  10. 25
  11. 7
  12. 24
  13. 3
  14. 7
  15. 75
  16. 3
  17. 12
  18. 6
  19. 15
  20. 5
  21. 6
  22. 61
  23. 12
  24. 8
  25. 60
  26. 10
  27. 69
  28. 9
  29. 16
  30. 60
  31. 4
  32. 4
  33. 50
  34. 25
  35. 21
  36. 50
  37. 15
  38. 25
  39. 32
  40. 50

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