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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 576 · 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 jug has 10 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?
  2. 2.A grocer mixes 3 kg of tea at ₹52 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹34 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  4. 4.A grocer mixes 8 kg of tea at ₹110 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹51 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 11 kg of tea at ₹78 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 : 6?
  10. 10.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  11. 11.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A jug has 10 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?
  13. 13.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  15. 15.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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 : 4?
  17. 17.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹39 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A 48-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?
  25. 25.A grocer mixes 2 kg of tea at ₹21 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  27. 27.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A grocer mixes 12 kg of tea at ₹110 per kg with 9 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  30. 30.Rice at ₹40 per kg is mixed with rice at ₹75 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?
  31. 31.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A 63-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?
  34. 34.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?
  35. 35.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  37. 37.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.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?
  40. 40.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 68
  2. 102
  3. 30
  4. 69
  5. 25
  6. 64
  7. 6
  8. 73
  9. 2
  10. 20
  11. 2
  12. 60
  13. 60
  14. 6
  15. 52
  16. 14
  17. 14
  18. 40
  19. 32
  20. 70
  21. 5
  22. 16
  23. 10
  24. 16
  25. 77
  26. 10
  27. 9
  28. 86
  29. 9
  30. 20
  31. 8
  32. 20
  33. 28
  34. 75
  35. 50
  36. 32
  37. 16
  38. 20
  39. 80
  40. 27

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