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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 138 · 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 grocer mixes 8 kg of tea at ₹74 per kg with 8 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 10 kg of tea at ₹46 per kg with 10 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.Rice at ₹52 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A 14-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?
  6. 6.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?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 72-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?
  9. 9.Rice at ₹33 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹22 per kg with 10 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  12. 12.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?
  13. 13.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.A jug has 40 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?
  15. 15.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.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?
  18. 18.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  19. 19.Rice at ₹66 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  21. 21.Rice at ₹40 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹109 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 7 kg of tea at ₹94 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 72-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?
  25. 25.A 70-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?
  26. 26.Rice at ₹53 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.A grocer mixes 12 kg of tea at ₹47 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 9 kg of tea at ₹40 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  33. 33.A jug has 10 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?
  34. 34.A grocer mixes 3 kg of tea at ₹59 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  36. 36.Rice at ₹22 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 4 kg of tea at ₹74 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹25 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?

Answer key

  1. 88
  2. 77
  3. 12
  4. 6
  5. 4
  6. 25
  7. 50
  8. 18
  9. 3
  10. 52
  11. 6
  12. 4
  13. 12
  14. 20
  15. 18
  16. 9
  17. 50
  18. 8
  19. 10
  20. 30
  21. 40
  22. 43
  23. 82
  24. 8
  25. 10
  26. 2
  27. 28
  28. 9
  29. 12
  30. 41
  31. 60
  32. 40
  33. 60
  34. 45
  35. 7
  36. 12
  37. 60
  38. 88
  39. 85
  40. 24

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