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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 94 · 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 grocer mixes 5 kg of tea at ₹45 per kg with 4 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹52 per kg is mixed with rice at ₹55 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?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 3 kg of tea at ₹93 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹76 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 : 4?
  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.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  10. 10.Rice at ₹69 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹88 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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 1 : 2?
  13. 13.A grocer mixes 5 kg of tea at ₹24 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.A jug has 20 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?
  16. 16.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  17. 17.Rice at ₹46 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.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?
  19. 19.A grocer mixes 6 kg of tea at ₹31 per kg with 7 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹70 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 6 kg of tea at ₹56 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A grocer mixes 4 kg of tea at ₹47 per kg with 9 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 10 kg of tea at ₹41 per kg with 7 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  27. 27.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?
  28. 28.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?
  29. 29.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.Rice at ₹34 per kg is mixed with rice at ₹44 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?
  32. 32.Rice at ₹73 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.Rice at ₹27 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹53 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  37. 37.A grocer mixes 4 kg of tea at ₹22 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹74 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.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?

Answer key

  1. 77
  2. 8
  3. 50
  4. 60
  5. 88
  6. 56
  7. 4
  8. 60
  9. 12
  10. 8
  11. 62
  12. 3
  13. 34
  14. 4
  15. 55
  16. 24
  17. 10
  18. 50
  19. 52
  20. 52
  21. 50
  22. 66
  23. 68
  24. 29
  25. 48
  26. 7
  27. 70
  28. 25
  29. 8
  30. 4
  31. 14
  32. 32
  33. 5
  34. 4
  35. 25
  36. 40
  37. 46
  38. 68
  39. 50
  40. 70

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