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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 781 · 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.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?
  2. 2.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?
  3. 3.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  4. 4.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 : 8?
  5. 5.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  6. 6.Rice at ₹59 per kg is mixed with rice at ₹108 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?
  7. 7.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?
  8. 8.A 48-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?
  9. 9.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  10. 10.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?
  11. 11.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 4 : 7?
  12. 12.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  13. 13.A 42-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?
  14. 14.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  15. 15.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 : 6?
  16. 16.A grocer mixes 10 kg of tea at ₹102 per kg with 10 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  18. 18.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A 108-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?
  21. 21.A 80-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?
  22. 22.A grocer mixes 4 kg of tea at ₹48 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  24. 24.A grocer mixes 8 kg of tea at ₹36 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹70 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹79 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  28. 28.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?
  29. 29.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  30. 30.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  32. 32.A grocer mixes 9 kg of tea at ₹114 per kg with 12 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹100 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.Rice at ₹47 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A 63-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?
  38. 38.Rice at ₹59 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹26 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 25
  2. 25
  3. 2
  4. 24
  5. 8
  6. 12
  7. 36
  8. 18
  9. 24
  10. 70
  11. 16
  12. 16
  13. 24
  14. 8
  15. 8
  16. 98
  17. 10
  18. 6
  19. 6
  20. 27
  21. 30
  22. 56
  23. 6
  24. 31
  25. 24
  26. 74
  27. 8
  28. 75
  29. 8
  30. 50
  31. 10
  32. 86
  33. 65
  34. 75
  35. 6
  36. 48
  37. 9
  38. 12
  39. 60
  40. 16

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