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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 901 · 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 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  2. 2.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?
  3. 3.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  6. 6.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?
  7. 7.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  8. 8.A grocer mixes 12 kg of tea at ₹63 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.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?
  12. 12.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  13. 13.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 3 : 2?
  14. 14.A 64-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?
  15. 15.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  16. 16.A grocer mixes 8 kg of tea at ₹42 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A 28-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?
  19. 19.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?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹26 per kg with 12 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  27. 27.A 32-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?
  28. 28.A jug has 20 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?
  29. 29.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?
  30. 30.Rice at ₹47 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹56 per kg with 10 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  34. 34.A grocer mixes 12 kg of tea at ₹82 per kg with 12 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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 : 4?
  36. 36.Rice at ₹51 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.A grocer mixes 10 kg of tea at ₹81 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹113 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹43 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹23 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 24
  2. 60
  3. 7
  4. 75
  5. 15
  6. 70
  7. 2
  8. 60
  9. 3
  10. 2
  11. 6
  12. 4
  13. 21
  14. 16
  15. 21
  16. 48
  17. 6
  18. 12
  19. 70
  20. 40
  21. 2
  22. 12
  23. 35
  24. 50
  25. 6
  26. 9
  27. 12
  28. 52
  29. 50
  30. 7
  31. 12
  32. 75
  33. 40
  34. 83
  35. 18
  36. 4
  37. 79
  38. 92
  39. 58
  40. 25

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