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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 60 · 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 9 kg of tea at ₹68 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 5 kg of tea at ₹75 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 2 kg of tea at ₹69 per kg with 10 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  5. 5.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  6. 6.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?
  7. 7.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?
  8. 8.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  9. 9.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  10. 10.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.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 : 7?
  12. 12.Rice at ₹41 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.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?
  16. 16.Rice at ₹39 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  19. 19.Rice at ₹44 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  20. 20.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 11 kg of tea at ₹53 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  25. 25.Rice at ₹73 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  27. 27.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  29. 29.A grocer mixes 7 kg of tea at ₹43 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  31. 31.A grocer mixes 11 kg of tea at ₹71 per kg with 11 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.A grocer mixes 5 kg of tea at ₹64 per kg with 5 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹109 per kg with 11 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹41 per kg with 6 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹102 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  40. 40.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?

Answer key

  1. 61
  2. 63
  3. 79
  4. 3
  5. 28
  6. 75
  7. 28
  8. 6
  9. 5
  10. 60
  11. 24
  12. 4
  13. 30
  14. 10
  15. 25
  16. 12
  17. 25
  18. 7
  19. 8
  20. 8
  21. 55
  22. 50
  23. 65
  24. 5
  25. 15
  26. 6
  27. 6
  28. 4
  29. 52
  30. 20
  31. 87
  32. 50
  33. 42
  34. 78
  35. 108
  36. 62
  37. 3
  38. 103
  39. 36
  40. 64

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