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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 451 · 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 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 : 5?
  2. 2.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  5. 5.A grocer mixes 4 kg of tea at ₹48 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 40-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?
  7. 7.A 14-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?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹50 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?
  9. 9.A grocer mixes 11 kg of tea at ₹80 per kg with 11 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  13. 13.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹53 per kg with 2 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹87 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 11 kg of tea at ₹82 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 40 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?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  20. 20.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.Rice at ₹43 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 5 kg of the dearer rice?
  22. 22.Rice at ₹72 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.Rice at ₹44 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹47 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  27. 27.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.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?
  30. 30.Rice at ₹63 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A 80-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?
  32. 32.Rice at ₹76 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.Rice at ₹66 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.A 88-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?
  35. 35.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  36. 36.A grocer mixes 4 kg of tea at ₹28 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹43 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹79 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹95 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?

Answer key

  1. 6
  2. 28
  3. 15
  4. 9
  5. 36
  6. 40
  7. 2
  8. 4
  9. 86
  10. 20
  11. 50
  12. 21
  13. 4
  14. 47
  15. 59
  16. 78
  17. 40
  18. 3
  19. 16
  20. 12
  21. 1
  22. 12
  23. 10
  24. 18
  25. 30
  26. 20
  27. 2
  28. 3
  29. 50
  30. 6
  31. 10
  32. 20
  33. 10
  34. 8
  35. 8
  36. 41
  37. 44
  38. 59
  39. 56
  40. 40

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