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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 808 · 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 12 kg of tea at ₹88 per kg with 5 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  3. 3.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  4. 4.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?
  5. 5.A grocer mixes 12 kg of tea at ₹97 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.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?
  8. 8.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  9. 9.A grocer mixes 7 kg of tea at ₹82 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 40 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?
  11. 11.A grocer mixes 9 kg of tea at ₹102 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 4 kg of tea at ₹82 per kg with 8 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 10 kg of tea at ₹89 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 4 kg of tea at ₹58 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  24. 24.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹109 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  27. 27.A grocer mixes 4 kg of tea at ₹60 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 5 kg of tea at ₹81 per kg with 5 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 40 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?
  30. 30.A 55-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?
  31. 31.A grocer mixes 5 kg of tea at ₹52 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  33. 33.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  34. 34.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  35. 35.Rice at ₹21 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 8 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 50 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?
  38. 38.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  39. 39.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?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 93
  2. 8
  3. 21
  4. 70
  5. 78
  6. 25
  7. 76
  8. 32
  9. 74
  10. 40
  11. 61
  12. 50
  13. 102
  14. 50
  15. 98
  16. 30
  17. 4
  18. 6
  19. 10
  20. 75
  21. 39
  22. 36
  23. 8
  24. 40
  25. 79
  26. 12
  27. 51
  28. 61
  29. 52
  30. 15
  31. 60
  32. 15
  33. 16
  34. 15
  35. 12
  36. 55
  37. 50
  38. 20
  39. 50
  40. 10

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