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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 653 · 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.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  3. 3.A 49-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?
  4. 4.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?
  5. 5.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  6. 6.A 20-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?
  7. 7.A 96-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?
  8. 8.A jug has 20 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?
  9. 9.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  10. 10.Rice at ₹59 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹67 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹104 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 6 kg of tea at ₹44 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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 : 6?
  15. 15.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?
  16. 16.Rice at ₹45 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A 120-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?
  18. 18.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  20. 20.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  21. 21.A grocer mixes 3 kg of tea at ₹40 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  24. 24.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.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?
  26. 26.A jug has 20 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?
  27. 27.A grocer mixes 2 kg of tea at ₹90 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A grocer mixes 3 kg of tea at ₹68 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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 1 : 2?
  31. 31.Rice at ₹30 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A grocer mixes 5 kg of tea at ₹37 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  36. 36.Rice at ₹57 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.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?
  39. 39.A 24-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?
  40. 40.A grocer mixes 5 kg of tea at ₹67 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 1
  2. 5
  3. 7
  4. 52
  5. 28
  6. 5
  7. 32
  8. 60
  9. 7
  10. 6
  11. 79
  12. 90
  13. 46
  14. 32
  15. 4
  16. 9
  17. 30
  18. 3
  19. 30
  20. 6
  21. 28
  22. 50
  23. 12
  24. 20
  25. 25
  26. 28
  27. 92
  28. 50
  29. 56
  30. 20
  31. 5
  32. 31
  33. 15
  34. 16
  35. 15
  36. 3
  37. 14
  38. 60
  39. 6
  40. 69

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