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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 850 · 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.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A grocer mixes 6 kg of tea at ₹40 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  4. 4.Rice at ₹26 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.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?
  6. 6.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A 44-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?
  8. 8.A grocer mixes 5 kg of tea at ₹34 per kg with 5 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 20 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?
  10. 10.Rice at ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A 100-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?
  12. 12.A grocer mixes 8 kg of tea at ₹74 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹36 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹39 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹36 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A 52-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?
  19. 19.A 16-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?
  20. 20.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?
  21. 21.A grocer mixes 5 kg of tea at ₹82 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹75 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A grocer mixes 8 kg of tea at ₹102 per kg with 8 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  25. 25.Rice at ₹46 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹58 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  29. 29.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  30. 30.A grocer mixes 11 kg of tea at ₹67 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 81-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?
  32. 32.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 1 : 2?
  33. 33.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 5 : 7?
  34. 34.A grocer mixes 8 kg of tea at ₹27 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.A grocer mixes 8 kg of tea at ₹49 per kg with 8 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  38. 38.Rice at ₹42 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  40. 40.A 26-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?

Answer key

  1. 6
  2. 36
  3. 20
  4. 12
  5. 60
  6. 4
  7. 8
  8. 76
  9. 40
  10. 15
  11. 30
  12. 57
  13. 40
  14. 35
  15. 93
  16. 58
  17. 28
  18. 4
  19. 4
  20. 64
  21. 91
  22. 4
  23. 92
  24. 30
  25. 5
  26. 55
  27. 4
  28. 30
  29. 4
  30. 63
  31. 9
  32. 8
  33. 12
  34. 51
  35. 3
  36. 75
  37. 36
  38. 10
  39. 16
  40. 2

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