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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 545 · 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 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?
  2. 2.A 12-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?
  3. 3.A grocer mixes 3 kg of tea at ₹47 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  5. 5.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  7. 7.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 2 kg of tea at ₹42 per kg with 8 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 9 kg of tea at ₹48 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  12. 12.Rice at ₹38 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹84 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  16. 16.Rice at ₹46 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 30 kg of the dearer rice?
  17. 17.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.Rice at ₹75 per kg is mixed with rice at ₹80 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?
  19. 19.A grocer mixes 12 kg of tea at ₹47 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  21. 21.Rice at ₹58 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.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?
  23. 23.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  24. 24.A grocer mixes 6 kg of tea at ₹97 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  27. 27.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  28. 28.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  29. 29.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.Rice at ₹50 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  33. 33.A grocer mixes 3 kg of tea at ₹20 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹21 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹63 per kg with 7 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹33 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.Rice at ₹51 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.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?
  40. 40.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 50
  2. 8
  3. 67
  4. 40
  5. 35
  6. 30
  7. 32
  8. 60
  9. 78
  10. 38
  11. 27
  12. 5
  13. 57
  14. 8
  15. 10
  16. 6
  17. 24
  18. 3
  19. 44
  20. 4
  21. 8
  22. 4
  23. 6
  24. 67
  25. 50
  26. 7
  27. 32
  28. 6
  29. 28
  30. 4
  31. 16
  32. 8
  33. 48
  34. 12
  35. 77
  36. 50
  37. 24
  38. 12
  39. 60
  40. 25

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