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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 427 · 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 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?
  2. 2.A 21-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?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹20 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹67 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.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 : 4?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.A grocer mixes 12 kg of tea at ₹100 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A grocer mixes 10 kg of tea at ₹36 per kg with 9 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.Rice at ₹63 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.A 40-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?
  17. 17.A grocer mixes 4 kg of tea at ₹43 per kg with 8 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  19. 19.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.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?
  21. 21.Rice at ₹75 per kg is mixed with rice at ₹147 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.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?
  23. 23.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?
  24. 24.A grocer mixes 8 kg of tea at ₹70 per kg with 12 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹64 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 56-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  27. 27.A grocer mixes 4 kg of tea at ₹31 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹55 per kg is mixed with rice at ₹90 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?
  29. 29.A grocer mixes 4 kg of tea at ₹24 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  32. 32.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A 27-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?
  34. 34.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?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹23 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 60-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 7 kg of tea at ₹35 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹67 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹80 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 40
  2. 12
  3. 50
  4. 25
  5. 18
  6. 6
  7. 24
  8. 5
  9. 30
  10. 75
  11. 18
  12. 63
  13. 76
  14. 20
  15. 35
  16. 20
  17. 47
  18. 12
  19. 8
  20. 68
  21. 8
  22. 20
  23. 50
  24. 97
  25. 56
  26. 16
  27. 37
  28. 3
  29. 42
  30. 60
  31. 18
  32. 2
  33. 18
  34. 75
  35. 6
  36. 26
  37. 6
  38. 29
  39. 10
  40. 25

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