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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 507 · 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 ₹50 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹99 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 35-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?
  4. 4.Rice at ₹44 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.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?
  6. 6.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 9 kg of tea at ₹94 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹28 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹47 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A grocer mixes 10 kg of tea at ₹75 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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 2 : 1?
  16. 16.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?
  17. 17.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 : 10?
  18. 18.Rice at ₹44 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  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.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?
  21. 21.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?
  22. 22.A grocer mixes 4 kg of tea at ₹24 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.A 81-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?
  26. 26.A grocer mixes 12 kg of tea at ₹79 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.A 45-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?
  29. 29.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?
  30. 30.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?
  31. 31.A grocer mixes 9 kg of tea at ₹98 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  33. 33.A 104-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?
  34. 34.A jug has 40 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?
  35. 35.A jug has 40 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?
  36. 36.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  37. 37.A grocer mixes 12 kg of tea at ₹33 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.A grocer mixes 7 kg of tea at ₹97 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹54 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 74
  3. 10
  4. 9
  5. 25
  6. 60
  7. 96
  8. 30
  9. 15
  10. 4
  11. 60
  12. 25
  13. 6
  14. 58
  15. 14
  16. 40
  17. 21
  18. 4
  19. 50
  20. 70
  21. 5
  22. 39
  23. 40
  24. 70
  25. 9
  26. 74
  27. 40
  28. 27
  29. 60
  30. 25
  31. 90
  32. 6
  33. 8
  34. 36
  35. 25
  36. 16
  37. 34
  38. 2
  39. 62
  40. 46

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