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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 424 · 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 49-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?
  2. 2.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 1 : 2?
  3. 3.A jug has 10 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.Rice at ₹36 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹25 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 3 kg of tea at ₹115 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹107 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 40 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?
  9. 9.A grocer mixes 6 kg of tea at ₹72 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 12 kg of tea at ₹67 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 9 kg of tea at ₹24 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  14. 14.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  15. 15.A grocer mixes 4 kg of tea at ₹57 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹27 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹148 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A grocer mixes 9 kg of tea at ₹113 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  24. 24.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹34 per kg with 6 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  29. 29.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹29 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹91 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 7 kg of tea at ₹63 per kg with 12 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹72 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹30 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 : 7?

Answer key

  1. 28
  2. 6
  3. 70
  4. 5
  5. 57
  6. 79
  7. 99
  8. 60
  9. 58
  10. 74
  11. 35
  12. 40
  13. 15
  14. 18
  15. 52
  16. 8
  17. 50
  18. 10
  19. 5
  20. 6
  21. 101
  22. 7
  23. 6
  24. 1
  25. 14
  26. 82
  27. 40
  28. 20
  29. 40
  30. 3
  31. 75
  32. 60
  33. 12
  34. 50
  35. 35
  36. 97
  37. 99
  38. 12
  39. 93
  40. 6

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