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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 280 · 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 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  2. 2.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  3. 3.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?
  4. 4.A 21-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?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A 42-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?
  9. 9.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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?
  11. 11.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹63 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?
  13. 13.A grocer mixes 4 kg of tea at ₹20 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 12 kg of tea at ₹22 per kg with 12 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A grocer mixes 5 kg of tea at ₹46 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.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?
  20. 20.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?
  21. 21.Rice at ₹37 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 24 kg of the dearer rice?
  22. 22.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹48 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹75 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹71 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.Rice at ₹64 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹79 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹64 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A 10-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?
  34. 34.Rice at ₹68 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 3 kg of tea at ₹21 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹73 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.Rice at ₹66 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?

Answer key

  1. 4
  2. 7
  3. 70
  4. 12
  5. 50
  6. 55
  7. 10
  8. 12
  9. 64
  10. 75
  11. 9
  12. 10
  13. 47
  14. 50
  15. 48
  16. 5
  17. 36
  18. 60
  19. 75
  20. 60
  21. 6
  22. 6
  23. 15
  24. 36
  25. 2
  26. 4
  27. 97
  28. 4
  29. 14
  30. 7
  31. 87
  32. 8
  33. 2
  34. 36
  35. 76
  36. 45
  37. 12
  38. 25
  39. 12
  40. 5

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