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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 549 · 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 4 kg of tea at ₹25 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹34 per kg with 8 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹52 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A jug has 20 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?
  5. 5.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?
  6. 6.Rice at ₹33 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  7. 7.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  8. 8.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  9. 9.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.Rice at ₹56 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  12. 12.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?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹54 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  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.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 5 kg of the dearer rice?
  17. 17.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹24 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 3 kg of tea at ₹39 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 20 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?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.Rice at ₹36 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 3 kg of the dearer rice?
  24. 24.Rice at ₹69 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 25 kg of the dearer rice?
  25. 25.A grocer mixes 6 kg of tea at ₹39 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 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?
  27. 27.Rice at ₹38 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 28 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹44 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 4 kg of tea at ₹42 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹89 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?
  33. 33.A grocer mixes 3 kg of tea at ₹97 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹22 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A grocer mixes 6 kg of tea at ₹44 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A grocer mixes 10 kg of tea at ₹112 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  40. 40.A grocer mixes 6 kg of tea at ₹38 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 78
  3. 24
  4. 52
  5. 50
  6. 24
  7. 12
  8. 3
  9. 16
  10. 9
  11. 12
  12. 40
  13. 18
  14. 60
  15. 55
  16. 6
  17. 48
  18. 35
  19. 30
  20. 79
  21. 70
  22. 3
  23. 1
  24. 20
  25. 43
  26. 50
  27. 7
  28. 86
  29. 4
  30. 5
  31. 53
  32. 24
  33. 45
  34. 75
  35. 5
  36. 38
  37. 5
  38. 102
  39. 16
  40. 80

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