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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 528 · 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.Rice at ₹40 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 2 kg of tea at ₹83 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A jug has 10 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?
  6. 6.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?
  7. 7.A jug has 40 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?
  8. 8.A 25-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?
  9. 9.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 : 2?
  10. 10.A grocer mixes 11 kg of tea at ₹84 per kg with 11 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 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?
  12. 12.A grocer mixes 8 kg of tea at ₹52 per kg with 8 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.Rice at ₹39 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 3 kg of tea at ₹62 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 5 kg of tea at ₹37 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 7 kg of tea at ₹81 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 24-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?
  25. 25.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  26. 26.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹68 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.Rice at ₹24 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 4 kg of the dearer rice?
  30. 30.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹37 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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 5 : 7?
  33. 33.Rice at ₹56 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A 49-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.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  37. 37.A 32-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?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹76 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 2 kg of the dearer rice?
  40. 40.A grocer mixes 11 kg of tea at ₹92 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 50
  3. 59
  4. 36
  5. 68
  6. 50
  7. 36
  8. 5
  9. 8
  10. 79
  11. 70
  12. 70
  13. 40
  14. 6
  15. 36
  16. 8
  17. 70
  18. 7
  19. 25
  20. 50
  21. 75
  22. 61
  23. 75
  24. 6
  25. 9
  26. 18
  27. 40
  28. 2
  29. 2
  30. 3
  31. 58
  32. 6
  33. 15
  34. 6
  35. 14
  36. 6
  37. 8
  38. 16
  39. 4
  40. 68

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