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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 393 · 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 grocer mixes 6 kg of tea at ₹33 per kg with 12 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹72 per kg is mixed with rice at ₹160 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.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?
  4. 4.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.A grocer mixes 9 kg of tea at ₹47 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹74 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  7. 7.A 16-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?
  8. 8.Rice at ₹23 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 24 kg of the dearer rice?
  9. 9.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?
  10. 10.A 45-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?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹78 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.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?
  16. 16.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  17. 17.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?
  18. 18.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.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 3 : 4?
  20. 20.Rice at ₹77 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  21. 21.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.A grocer mixes 2 kg of tea at ₹106 per kg with 10 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  24. 24.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  25. 25.Rice at ₹77 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹41 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 40 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?
  29. 29.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?
  30. 30.A jug has 20 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?
  31. 31.Rice at ₹61 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹79 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.Rice at ₹34 per kg is mixed with rice at ₹62 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?
  37. 37.A grocer mixes 2 kg of tea at ₹39 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹107 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹102 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 83
  2. 30
  3. 25
  4. 12
  5. 43
  6. 6
  7. 16
  8. 30
  9. 40
  10. 9
  11. 2
  12. 80
  13. 20
  14. 24
  15. 28
  16. 14
  17. 40
  18. 7
  19. 18
  20. 3
  21. 7
  22. 96
  23. 24
  24. 4
  25. 4
  26. 1
  27. 51
  28. 60
  29. 60
  30. 55
  31. 15
  32. 75
  33. 50
  34. 64
  35. 3
  36. 1
  37. 41
  38. 9
  39. 91
  40. 106

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