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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 952 · 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 ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  3. 3.A grocer mixes 8 kg of tea at ₹27 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  7. 7.Rice at ₹58 per kg is mixed with rice at ₹146 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  9. 9.Rice at ₹56 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹36 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 44-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.A grocer mixes 7 kg of tea at ₹24 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  14. 14.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  15. 15.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  16. 16.A grocer mixes 10 kg of tea at ₹33 per kg with 6 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  19. 19.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.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 : 2?
  21. 21.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  22. 22.A grocer mixes 5 kg of tea at ₹118 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹45 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.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?
  27. 27.A 15-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?
  28. 28.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?
  29. 29.Rice at ₹36 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.A jug has 40 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?
  31. 31.A grocer mixes 9 kg of tea at ₹111 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹64 per kg with 10 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹32 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 2 kg of the dearer rice?
  37. 37.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.Rice at ₹57 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.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?
  40. 40.A 12-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?

Answer key

  1. 25
  2. 24
  3. 30
  4. 5
  5. 15
  6. 12
  7. 15
  8. 7
  9. 5
  10. 57
  11. 8
  12. 36
  13. 28
  14. 6
  15. 9
  16. 42
  17. 36
  18. 10
  19. 4
  20. 10
  21. 16
  22. 92
  23. 75
  24. 25
  25. 42
  26. 40
  27. 6
  28. 9
  29. 4
  30. 25
  31. 97
  32. 7
  33. 5
  34. 94
  35. 15
  36. 12
  37. 4
  38. 1
  39. 50
  40. 6

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