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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 849 · 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 ₹62 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A grocer mixes 4 kg of tea at ₹22 per kg with 8 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 2 kg of tea at ₹104 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹22 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹31 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  9. 9.Rice at ₹39 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A jug has 50 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 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?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹62 per kg with 12 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A grocer mixes 9 kg of tea at ₹26 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 8 kg of tea at ₹96 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 5 kg of tea at ₹41 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹65 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.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?
  23. 23.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹119 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  30. 30.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  31. 31.A grocer mixes 9 kg of tea at ₹114 per kg with 7 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 10 kg of tea at ₹40 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 2 kg of tea at ₹29 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 10 kg of tea at ₹93 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  38. 38.A grocer mixes 2 kg of tea at ₹58 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.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 5 : 8?

Answer key

  1. 20
  2. 84
  3. 36
  4. 50
  5. 83
  6. 8
  7. 60
  8. 20
  9. 15
  10. 2
  11. 50
  12. 70
  13. 24
  14. 6
  15. 52
  16. 58
  17. 25
  18. 47
  19. 86
  20. 55
  21. 8
  22. 40
  23. 36
  24. 1
  25. 36
  26. 60
  27. 115
  28. 25
  29. 12
  30. 18
  31. 100
  32. 35
  33. 37
  34. 90
  35. 25
  36. 50
  37. 3
  38. 42
  39. 12
  40. 10

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