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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 506 · 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.

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  1. 1.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?
  2. 2.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?
  3. 3.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?
  4. 4.A grocer mixes 12 kg of tea at ₹106 per kg with 9 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  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 grocer mixes 2 kg of tea at ₹59 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 6 kg of tea at ₹101 per kg with 3 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 5 kg of tea at ₹74 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 90-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?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A grocer mixes 11 kg of tea at ₹64 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 5 kg of tea at ₹118 per kg with 10 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  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.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.Rice at ₹27 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.Rice at ₹27 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹75 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 49-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.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  25. 25.A jug has 40 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?
  26. 26.A 30-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?
  27. 27.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?
  28. 28.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  29. 29.A grocer mixes 4 kg of tea at ₹29 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  32. 32.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹75 per kg with 11 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 10 kg of tea at ₹57 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  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 grocer mixes 6 kg of tea at ₹103 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹35 per kg with 12 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  39. 39.A jug has 40 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?
  40. 40.A grocer mixes 4 kg of tea at ₹97 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 60
  3. 60
  4. 91
  5. 25
  6. 80
  7. 86
  8. 66
  9. 36
  10. 9
  11. 20
  12. 18
  13. 1
  14. 82
  15. 84
  16. 70
  17. 75
  18. 16
  19. 20
  20. 6
  21. 65
  22. 50
  23. 28
  24. 28
  25. 40
  26. 6
  27. 50
  28. 9
  29. 56
  30. 6
  31. 2
  32. 5
  33. 64
  34. 54
  35. 25
  36. 75
  37. 81
  38. 27
  39. 40
  40. 102

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