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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 761 · 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 2 kg of tea at ₹83 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 9 kg of tea at ₹68 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 2 kg of tea at ₹76 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  6. 6.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?
  7. 7.Rice at ₹58 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 7 kg of tea at ₹118 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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 : 6?
  11. 11.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  12. 12.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 3 : 5?
  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 : 1?
  14. 14.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  15. 15.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  16. 16.Rice at ₹77 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A grocer mixes 4 kg of tea at ₹27 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹61 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  21. 21.A grocer mixes 2 kg of tea at ₹23 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹47 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 9-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?
  26. 26.Rice at ₹33 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹39 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  29. 29.Rice at ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.Rice at ₹50 per kg is mixed with rice at ₹85 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?
  34. 34.Rice at ₹65 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹55 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  39. 39.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 1 : 4?
  40. 40.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?

Answer key

  1. 41
  2. 72
  3. 58
  4. 15
  5. 30
  6. 50
  7. 7
  8. 60
  9. 85
  10. 20
  11. 6
  12. 12
  13. 7
  14. 12
  15. 4
  16. 1
  17. 78
  18. 8
  19. 70
  20. 35
  21. 38
  22. 10
  23. 25
  24. 6
  25. 6
  26. 3
  27. 105
  28. 12
  29. 2
  30. 5
  31. 8
  32. 2
  33. 24
  34. 15
  35. 5
  36. 73
  37. 30
  38. 35
  39. 6
  40. 27

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