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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 185 · 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 ₹50 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.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?
  4. 4.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  5. 5.A grocer mixes 7 kg of tea at ₹37 per kg with 3 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  7. 7.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?
  8. 8.A 8-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?
  9. 9.A grocer mixes 7 kg of tea at ₹81 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 6 kg of tea at ₹80 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹22 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹30 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹38 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹33 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A grocer mixes 4 kg of tea at ₹49 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  23. 23.A grocer mixes 4 kg of tea at ₹65 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A grocer mixes 11 kg of tea at ₹21 per kg with 11 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹47 per kg with 2 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹28 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹80 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  29. 29.Rice at ₹29 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹63 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.A grocer mixes 5 kg of tea at ₹108 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  37. 37.Rice at ₹27 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 4 kg of the dearer rice?
  38. 38.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  39. 39.Rice at ₹62 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  40. 40.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?

Answer key

  1. 3
  2. 12
  3. 40
  4. 18
  5. 58
  6. 10
  7. 75
  8. 8
  9. 57
  10. 12
  11. 52
  12. 72
  13. 2
  14. 55
  15. 18
  16. 80
  17. 4
  18. 43
  19. 36
  20. 15
  21. 35
  22. 6
  23. 57
  24. 25
  25. 33
  26. 51
  27. 52
  28. 7
  29. 3
  30. 32
  31. 60
  32. 3
  33. 60
  34. 20
  35. 84
  36. 7
  37. 1
  38. 10
  39. 35
  40. 12

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