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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 719 · 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 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?
  2. 2.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 : 5?
  3. 3.A grocer mixes 5 kg of tea at ₹52 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  7. 7.A grocer mixes 4 kg of tea at ₹21 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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 : 1?
  9. 9.A grocer mixes 9 kg of tea at ₹48 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 8 kg of tea at ₹25 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 72-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?
  12. 12.A grocer mixes 11 kg of tea at ₹61 per kg with 11 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹44 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 8 kg of tea at ₹116 per kg with 9 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  18. 18.Rice at ₹47 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.Rice at ₹53 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 11 kg of tea at ₹47 per kg with 11 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 2 kg of tea at ₹46 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 11 kg of tea at ₹67 per kg with 11 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  25. 25.A grocer mixes 12 kg of tea at ₹109 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 2 kg of tea at ₹82 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 9 kg of tea at ₹35 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 6 kg of tea at ₹65 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.Rice at ₹72 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  34. 34.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A grocer mixes 6 kg of tea at ₹93 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A grocer mixes 4 kg of tea at ₹21 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹54 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 8
  2. 32
  3. 44
  4. 20
  5. 36
  6. 24
  7. 51
  8. 7
  9. 68
  10. 31
  11. 18
  12. 46
  13. 50
  14. 71
  15. 40
  16. 42
  17. 16
  18. 24
  19. 18
  20. 50
  21. 74
  22. 88
  23. 71
  24. 12
  25. 106
  26. 61
  27. 76
  28. 94
  29. 83
  30. 55
  31. 85
  32. 8
  33. 7
  34. 30
  35. 5
  36. 79
  37. 50
  38. 43
  39. 10
  40. 40

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