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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 42 · 40 questions
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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 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  2. 2.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A 55-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?
  4. 4.A grocer mixes 4 kg of tea at ₹96 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹72 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹75 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹25 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 10 kg of tea at ₹79 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 10 kg of tea at ₹59 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹90 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 5 kg of tea at ₹34 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 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?
  15. 15.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?
  16. 16.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.A grocer mixes 2 kg of tea at ₹22 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹22 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.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?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  24. 24.A grocer mixes 8 kg of tea at ₹100 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 22-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?
  26. 26.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.Rice at ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.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?
  29. 29.Rice at ₹75 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  31. 31.A grocer mixes 4 kg of tea at ₹97 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.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?
  34. 34.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?
  35. 35.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?
  36. 36.A grocer mixes 4 kg of tea at ₹71 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  38. 38.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹32 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 9
  2. 4
  3. 10
  4. 48
  5. 70
  6. 25
  7. 12
  8. 34
  9. 2
  10. 82
  11. 56
  12. 75
  13. 66
  14. 50
  15. 60
  16. 12
  17. 3
  18. 34
  19. 4
  20. 75
  21. 9
  22. 30
  23. 12
  24. 89
  25. 2
  26. 3
  27. 25
  28. 64
  29. 6
  30. 8
  31. 81
  32. 8
  33. 50
  34. 60
  35. 55
  36. 81
  37. 8
  38. 24
  39. 74
  40. 30

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