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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 99 · 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 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  2. 2.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  3. 3.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?
  4. 4.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹62 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.Rice at ₹75 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹50 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹77 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹117 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  14. 14.A 60-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?
  15. 15.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?
  16. 16.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  17. 17.Rice at ₹50 per kg is mixed with rice at ₹62 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?
  18. 18.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹59 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 3 kg of the dearer rice?
  20. 20.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 : 11?
  21. 21.A grocer mixes 10 kg of tea at ₹76 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹71 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.Rice at ₹56 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A jug has 40 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?
  26. 26.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 : 6?
  27. 27.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.Rice at ₹40 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.Rice at ₹48 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.Rice at ₹70 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A grocer mixes 5 kg of tea at ₹104 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  37. 37.A grocer mixes 7 kg of tea at ₹103 per kg with 7 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.Rice at ₹70 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹43 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 24
  2. 4
  3. 36
  4. 48
  5. 18
  6. 8
  7. 12
  8. 40
  9. 58
  10. 92
  11. 93
  12. 35
  13. 12
  14. 10
  15. 75
  16. 12
  17. 30
  18. 16
  19. 2
  20. 32
  21. 70
  22. 3
  23. 28
  24. 60
  25. 20
  26. 12
  27. 50
  28. 15
  29. 10
  30. 5
  31. 6
  32. 80
  33. 85
  34. 7
  35. 36
  36. 36
  37. 91
  38. 2
  39. 2
  40. 64

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