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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 930 · 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 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?
  2. 2.A 55-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?
  3. 3.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 1 : 1?
  4. 4.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  5. 5.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  7. 7.A grocer mixes 11 kg of tea at ₹28 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹37 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.Rice at ₹27 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.A grocer mixes 12 kg of tea at ₹47 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.Rice at ₹38 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.Rice at ₹73 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹44 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.Rice at ₹22 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹38 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  29. 29.A 36-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?
  30. 30.Rice at ₹57 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 16 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹65 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 10 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?
  33. 33.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?
  34. 34.A grocer mixes 9 kg of tea at ₹41 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 4 kg of tea at ₹95 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹75 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹30 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  40. 40.A grocer mixes 2 kg of tea at ₹26 per kg with 8 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 18
  2. 15
  3. 4
  4. 4
  5. 50
  6. 10
  7. 34
  8. 15
  9. 16
  10. 40
  11. 25
  12. 32
  13. 40
  14. 5
  15. 2
  16. 36
  17. 20
  18. 29
  19. 6
  20. 16
  21. 25
  22. 36
  23. 1
  24. 10
  25. 15
  26. 60
  27. 5
  28. 8
  29. 6
  30. 40
  31. 85
  32. 70
  33. 52
  34. 54
  35. 73
  36. 75
  37. 4
  38. 38
  39. 28
  40. 90

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