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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 156 · 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 2 kg of tea at ₹52 per kg with 12 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A grocer mixes 5 kg of tea at ₹20 per kg with 12 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹107 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A grocer mixes 3 kg of tea at ₹83 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  8. 8.A grocer mixes 9 kg of tea at ₹33 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹102 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹101 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 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?
  17. 17.Rice at ₹42 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.Rice at ₹50 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  19. 19.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  21. 21.A grocer mixes 6 kg of tea at ₹86 per kg with 8 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A grocer mixes 10 kg of tea at ₹104 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A jug has 10 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?
  26. 26.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?
  27. 27.Rice at ₹75 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 7 kg of tea at ₹22 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹100 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  34. 34.A 99-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?
  35. 35.A jug has 50 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?
  36. 36.A grocer mixes 12 kg of tea at ₹58 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹49 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹47 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹59 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A 108-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?

Answer key

  1. 70
  2. 25
  3. 80
  4. 99
  5. 20
  6. 59
  7. 10
  8. 40
  9. 95
  10. 5
  11. 2
  12. 60
  13. 5
  14. 15
  15. 75
  16. 40
  17. 20
  18. 35
  19. 18
  20. 12
  21. 70
  22. 8
  23. 78
  24. 40
  25. 70
  26. 40
  27. 6
  28. 4
  29. 70
  30. 9
  31. 58
  32. 112
  33. 8
  34. 27
  35. 25
  36. 75
  37. 6
  38. 68
  39. 15
  40. 27

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