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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 935 · 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 grocer mixes 5 kg of tea at ₹112 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹40 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 7 kg of tea at ₹63 per kg with 7 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A grocer mixes 8 kg of tea at ₹60 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  10. 10.A grocer mixes 7 kg of tea at ₹87 per kg with 7 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹46 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹120 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 : 4?
  14. 14.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 1 kg of the dearer rice?
  15. 15.Rice at ₹20 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹83 per kg with 9 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 7 kg of tea at ₹63 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹67 per kg is mixed with rice at ₹109 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?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.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?
  21. 21.A grocer mixes 4 kg of tea at ₹114 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  23. 23.A grocer mixes 2 kg of tea at ₹71 per kg with 4 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹56 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.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 1 : 2?
  27. 27.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 1 : 1?
  28. 28.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?
  29. 29.A 88-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?
  30. 30.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  31. 31.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  33. 33.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  34. 34.Rice at ₹54 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A jug has 20 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?
  36. 36.A grocer mixes 9 kg of tea at ₹31 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.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?
  40. 40.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 78
  2. 55
  3. 28
  4. 59
  5. 77
  6. 18
  7. 9
  8. 81
  9. 8
  10. 76
  11. 16
  12. 68
  13. 27
  14. 4
  15. 5
  16. 47
  17. 74
  18. 15
  19. 3
  20. 60
  21. 105
  22. 6
  23. 69
  24. 47
  25. 15
  26. 5
  27. 9
  28. 25
  29. 8
  30. 16
  31. 5
  32. 24
  33. 8
  34. 15
  35. 28
  36. 59
  37. 32
  38. 24
  39. 40
  40. 18

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