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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 205 · 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 ₹64 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  3. 3.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  6. 6.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 3 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹38 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  9. 9.Rice at ₹22 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.Rice at ₹78 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.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 : 2?
  13. 13.Rice at ₹32 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹27 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 12 kg of tea at ₹70 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  19. 19.A jug has 40 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?
  20. 20.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.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?
  22. 22.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  23. 23.Rice at ₹22 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  25. 25.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  28. 28.Rice at ₹44 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  30. 30.Rice at ₹51 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹66 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A 78-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?
  37. 37.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  39. 39.A grocer mixes 3 kg of tea at ₹84 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 20
  2. 15
  3. 76
  4. 16
  5. 10
  6. 18
  7. 33
  8. 12
  9. 9
  10. 12
  11. 35
  12. 27
  13. 8
  14. 24
  15. 79
  16. 81
  17. 3
  18. 8
  19. 40
  20. 3
  21. 36
  22. 18
  23. 25
  24. 5
  25. 6
  26. 40
  27. 18
  28. 24
  29. 10
  30. 6
  31. 43
  32. 25
  33. 8
  34. 4
  35. 10
  36. 12
  37. 18
  38. 12
  39. 76
  40. 4

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