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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 55 · 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 jug has 10 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?
  2. 2.A grocer mixes 6 kg of tea at ₹103 per kg with 9 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹43 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹79 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.A grocer mixes 2 kg of tea at ₹24 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 7 kg of tea at ₹113 per kg with 7 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 36-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?
  10. 10.A grocer mixes 4 kg of tea at ₹80 per kg with 4 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  12. 12.Rice at ₹54 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  15. 15.Rice at ₹64 per kg is mixed with rice at ₹120 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?
  16. 16.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  17. 17.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  18. 18.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?
  19. 19.A grocer mixes 5 kg of tea at ₹95 per kg with 5 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹47 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?
  21. 21.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?
  22. 22.A grocer mixes 10 kg of tea at ₹27 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹67 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.Rice at ₹59 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹24 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹39 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹55 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  30. 30.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A grocer mixes 5 kg of tea at ₹52 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.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 1 : 1?
  34. 34.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.A 48-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?
  37. 37.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.A grocer mixes 3 kg of tea at ₹102 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?

Answer key

  1. 55
  2. 82
  3. 64
  4. 68
  5. 24
  6. 48
  7. 67
  8. 50
  9. 9
  10. 81
  11. 16
  12. 6
  13. 6
  14. 36
  15. 36
  16. 12
  17. 28
  18. 50
  19. 66
  20. 25
  21. 40
  22. 48
  23. 21
  24. 21
  25. 8
  26. 12
  27. 42
  28. 29
  29. 35
  30. 15
  31. 45
  32. 75
  33. 6
  34. 27
  35. 9
  36. 8
  37. 15
  38. 107
  39. 50
  40. 4

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