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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 47 · 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 ₹80 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 3 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹35 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 88-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 12 kg of tea at ₹113 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹114 per kg with 4 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹79 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?
  8. 8.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.A grocer mixes 4 kg of tea at ₹47 per kg with 8 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹39 per kg with 6 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 66-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?
  13. 13.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  14. 14.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 12 kg of tea at ₹31 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A grocer mixes 7 kg of tea at ₹20 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A grocer mixes 2 kg of tea at ₹23 per kg with 12 kg of tea at ₹72 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. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A jug has 40 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?
  26. 26.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  28. 28.A grocer mixes 8 kg of tea at ₹67 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  30. 30.Rice at ₹46 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.Rice at ₹58 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 4 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹36 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  38. 38.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?
  39. 39.A grocer mixes 3 kg of tea at ₹116 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 : 5?

Answer key

  1. 12
  2. 38
  3. 16
  4. 82
  5. 116
  6. 75
  7. 12
  8. 25
  9. 12
  10. 55
  11. 79
  12. 24
  13. 4
  14. 50
  15. 43
  16. 4
  17. 24
  18. 3
  19. 10
  20. 32
  21. 16
  22. 8
  23. 65
  24. 25
  25. 36
  26. 8
  27. 7
  28. 65
  29. 8
  30. 1
  31. 16
  32. 6
  33. 50
  34. 12
  35. 46
  36. 60
  37. 4
  38. 50
  39. 108
  40. 4

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