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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 522 · 40 questions
TalentJR

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 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?
  2. 2.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  4. 4.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  5. 5.Rice at ₹70 per kg is mixed with rice at ₹158 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  6. 6.Rice at ₹44 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.Rice at ₹47 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹77 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 11 kg of tea at ₹47 per kg with 7 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹25 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹25 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 5 kg of tea at ₹59 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹76 per kg is mixed with rice at ₹142 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.A 15-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?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.A grocer mixes 12 kg of tea at ₹111 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  25. 25.A 96-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?
  26. 26.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A grocer mixes 6 kg of tea at ₹48 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 21-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?
  31. 31.Rice at ₹72 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹97 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 2 kg of tea at ₹91 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 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?
  35. 35.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.A jug has 40 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?
  37. 37.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.Rice at ₹24 per kg is mixed with rice at ₹56 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?
  39. 39.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  40. 40.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?

Answer key

  1. 50
  2. 4
  3. 5
  4. 3
  5. 42
  6. 4
  7. 5
  8. 3
  9. 62
  10. 61
  11. 61
  12. 4
  13. 52
  14. 65
  15. 15
  16. 10
  17. 12
  18. 4
  19. 18
  20. 10
  21. 4
  22. 93
  23. 18
  24. 15
  25. 8
  26. 7
  27. 35
  28. 54
  29. 40
  30. 9
  31. 5
  32. 105
  33. 104
  34. 36
  35. 8
  36. 28
  37. 12
  38. 9
  39. 10
  40. 40

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