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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 533 · 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 ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  3. 3.A 25-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?
  4. 4.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?
  5. 5.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  6. 6.A jug has 10 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?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.Rice at ₹71 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 6 kg of tea at ₹114 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹82 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 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?
  15. 15.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  16. 16.Rice at ₹68 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹39 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.A 45-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?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.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?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  27. 27.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?
  28. 28.Rice at ₹72 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 5 kg of tea at ₹60 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹63 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A grocer mixes 6 kg of tea at ₹43 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹40 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 2 kg of tea at ₹102 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 50 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?
  40. 40.A 88-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?

Answer key

  1. 40
  2. 4
  3. 10
  4. 68
  5. 27
  6. 75
  7. 20
  8. 64
  9. 50
  10. 21
  11. 50
  12. 75
  13. 57
  14. 70
  15. 14
  16. 18
  17. 75
  18. 6
  19. 5
  20. 35
  21. 24
  22. 28
  23. 20
  24. 60
  25. 8
  26. 18
  27. 60
  28. 8
  29. 52
  30. 54
  31. 25
  32. 39
  33. 40
  34. 36
  35. 8
  36. 60
  37. 50
  38. 54
  39. 25
  40. 24

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