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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 599 · 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 11 kg of tea at ₹112 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹59 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  4. 4.Rice at ₹65 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  7. 7.Rice at ₹20 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹102 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹47 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹73 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  13. 13.A grocer mixes 3 kg of tea at ₹105 per kg with 12 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  16. 16.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹73 per kg with 7 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹34 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.A grocer mixes 10 kg of tea at ₹45 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹69 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.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?
  29. 29.A grocer mixes 12 kg of tea at ₹102 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 9 kg of tea at ₹41 per kg with 9 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A 63-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?
  33. 33.A grocer mixes 8 kg of tea at ₹76 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹38 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.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?
  37. 37.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?
  38. 38.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 12 kg of tea at ₹105 per kg with 12 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?

Answer key

  1. 102
  2. 50
  3. 7
  4. 6
  5. 3
  6. 35
  7. 20
  8. 114
  9. 6
  10. 28
  11. 76
  12. 12
  13. 81
  14. 27
  15. 24
  16. 12
  17. 3
  18. 60
  19. 80
  20. 8
  21. 72
  22. 4
  23. 51
  24. 55
  25. 20
  26. 60
  27. 60
  28. 52
  29. 88
  30. 34
  31. 18
  32. 27
  33. 71
  34. 2
  35. 15
  36. 60
  37. 7
  38. 60
  39. 91
  40. 6

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