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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 362 · 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 40 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?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹50 per kg with 3 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹112 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 10 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?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  8. 8.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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 2 : 3?
  10. 10.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A jug has 10 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?
  12. 12.A grocer mixes 7 kg of tea at ₹94 per kg with 9 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 10 kg of tea at ₹93 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹74 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹51 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 5 kg of tea at ₹69 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹21 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  22. 22.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  23. 23.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.Rice at ₹34 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹60 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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 6 : 5?
  27. 27.A 24-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?
  28. 28.Rice at ₹37 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  33. 33.A grocer mixes 2 kg of tea at ₹41 per kg with 5 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.A 18-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?
  37. 37.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 : 8?
  38. 38.A grocer mixes 9 kg of tea at ₹117 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹55 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?

Answer key

  1. 28
  2. 20
  3. 53
  4. 109
  5. 80
  6. 12
  7. 16
  8. 60
  9. 12
  10. 7
  11. 40
  12. 85
  13. 69
  14. 5
  15. 21
  16. 48
  17. 76
  18. 52
  19. 50
  20. 3
  21. 18
  22. 7
  23. 12
  24. 6
  25. 78
  26. 28
  27. 24
  28. 12
  29. 6
  30. 50
  31. 25
  32. 14
  33. 51
  34. 12
  35. 12
  36. 2
  37. 24
  38. 87
  39. 12
  40. 7

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