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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 35 · 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 ₹35 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.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?
  3. 3.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?
  4. 4.A 32-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?
  5. 5.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹39 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  8. 8.A grocer mixes 12 kg of tea at ₹42 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 3 kg of tea at ₹28 per kg with 9 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 9 kg of tea at ₹90 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  12. 12.A 10-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?
  13. 13.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 5 : 11?
  14. 14.A grocer mixes 3 kg of tea at ₹62 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 6 kg of tea at ₹71 per kg with 12 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 11 kg of tea at ₹44 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 8 kg of tea at ₹88 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 6 kg of tea at ₹89 per kg with 11 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  20. 20.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.Rice at ₹66 per kg is mixed with rice at ₹101 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?
  22. 22.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  24. 24.A grocer mixes 8 kg of tea at ₹36 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹55 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹89 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 40-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?
  28. 28.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?
  29. 29.A grocer mixes 9 kg of tea at ₹113 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 6 kg of tea at ₹34 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  33. 33.A grocer mixes 5 kg of tea at ₹87 per kg with 10 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 12 kg of tea at ₹69 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹41 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹21 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  38. 38.A grocer mixes 11 kg of tea at ₹116 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹63 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 16
  2. 75
  3. 55
  4. 8
  5. 50
  6. 32
  7. 5
  8. 41
  9. 76
  10. 59
  11. 36
  12. 2
  13. 12
  14. 54
  15. 97
  16. 66
  17. 77
  18. 100
  19. 8
  20. 4
  21. 3
  22. 30
  23. 36
  24. 30
  25. 10
  26. 99
  27. 5
  28. 50
  29. 100
  30. 50
  31. 54
  32. 5
  33. 53
  34. 72
  35. 18
  36. 70
  37. 21
  38. 114
  39. 16
  40. 50

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