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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 423 · 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 ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹47 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.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?
  7. 7.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 84-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?
  12. 12.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?
  13. 13.A jug has 40 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?
  14. 14.A grocer mixes 2 kg of tea at ₹108 per kg with 7 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 10 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?
  16. 16.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  20. 20.Rice at ₹29 per kg is mixed with rice at ₹50 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?
  21. 21.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  22. 22.A jug has 40 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?
  23. 23.Rice at ₹79 per kg is mixed with rice at ₹167 per kg to make a mix worth ₹119 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹60 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 9 kg of tea at ₹76 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹90 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹50 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.Rice at ₹45 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.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 4 kg of the dearer rice?
  31. 31.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.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?
  33. 33.A grocer mixes 10 kg of tea at ₹119 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 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?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.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?
  37. 37.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  38. 38.A grocer mixes 10 kg of tea at ₹56 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 3
  2. 40
  3. 8
  4. 75
  5. 30
  6. 36
  7. 16
  8. 8
  9. 21
  10. 50
  11. 28
  12. 75
  13. 60
  14. 87
  15. 55
  16. 3
  17. 8
  18. 18
  19. 8
  20. 10
  21. 36
  22. 28
  23. 12
  24. 44
  25. 86
  26. 75
  27. 9
  28. 3
  29. 10
  30. 6
  31. 14
  32. 70
  33. 84
  34. 40
  35. 1
  36. 70
  37. 6
  38. 52
  39. 24
  40. 6

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