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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 647 · 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 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?
  2. 2.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  3. 3.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?
  4. 4.A jug has 20 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?
  5. 5.Rice at ₹65 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.Rice at ₹76 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹21 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  9. 9.A 66-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?
  10. 10.A grocer mixes 9 kg of tea at ₹47 per kg with 10 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹32 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹31 per kg with 11 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  15. 15.A grocer mixes 3 kg of tea at ₹38 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 5 kg of tea at ₹112 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 5 kg of tea at ₹48 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹62 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹73 per kg is mixed with rice at ₹93 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?
  20. 20.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.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 2 : 3?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.Rice at ₹56 per kg is mixed with rice at ₹68 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 10 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?
  25. 25.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?
  26. 26.A grocer mixes 6 kg of tea at ₹32 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹44 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹88 per kg with 8 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  31. 31.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?
  32. 32.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?
  33. 33.Rice at ₹69 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 2 kg of the dearer rice?
  34. 34.A grocer mixes 2 kg of tea at ₹80 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 10 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?
  36. 36.A grocer mixes 6 kg of tea at ₹20 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.Rice at ₹63 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  39. 39.A grocer mixes 12 kg of tea at ₹33 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 3 kg of tea at ₹33 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 40
  3. 20
  4. 52
  5. 12
  6. 15
  7. 50
  8. 8
  9. 12
  10. 67
  11. 40
  12. 75
  13. 25
  14. 5
  15. 30
  16. 88
  17. 57
  18. 69
  19. 8
  20. 12
  21. 8
  22. 2
  23. 30
  24. 80
  25. 40
  26. 30
  27. 21
  28. 66
  29. 3
  30. 28
  31. 28
  32. 40
  33. 1
  34. 89
  35. 50
  36. 28
  37. 12
  38. 3
  39. 47
  40. 42

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