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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 74 · 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 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.A grocer mixes 3 kg of tea at ₹104 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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 : 7?
  4. 4.Rice at ₹26 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  5. 5.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 4 kg of tea at ₹50 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹62 per kg is mixed with rice at ₹98 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?
  8. 8.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.Rice at ₹59 per kg is mixed with rice at ₹64 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?
  11. 11.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?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A grocer mixes 5 kg of tea at ₹37 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹120 per kg with 8 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹42 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹40 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹51 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  23. 23.A grocer mixes 5 kg of tea at ₹30 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹102 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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 5 : 9?
  26. 26.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  27. 27.A grocer mixes 7 kg of tea at ₹45 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹47 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.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?
  31. 31.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  32. 32.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  33. 33.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?
  34. 34.A grocer mixes 12 kg of tea at ₹45 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 12 kg of tea at ₹119 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹108 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A grocer mixes 5 kg of tea at ₹88 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹45 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.Rice at ₹39 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 4 kg of the dearer rice?

Answer key

  1. 21
  2. 60
  3. 6
  4. 21
  5. 3
  6. 54
  7. 32
  8. 14
  9. 21
  10. 12
  11. 40
  12. 20
  13. 16
  14. 29
  15. 76
  16. 8
  17. 64
  18. 25
  19. 54
  20. 40
  21. 35
  22. 16
  23. 54
  24. 76
  25. 10
  26. 21
  27. 60
  28. 39
  29. 16
  30. 55
  31. 18
  32. 7
  33. 40
  34. 60
  35. 97
  36. 62
  37. 75
  38. 48
  39. 5
  40. 5

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