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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 737 · 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 grocer mixes 5 kg of tea at ₹116 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 80-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?
  4. 4.Rice at ₹56 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  5. 5.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A grocer mixes 8 kg of tea at ₹72 per kg with 8 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A grocer mixes 12 kg of tea at ₹39 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹44 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?
  11. 11.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?
  12. 12.A grocer mixes 4 kg of tea at ₹67 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  15. 15.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  16. 16.A grocer mixes 3 kg of tea at ₹24 per kg with 11 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹20 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹21 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 21-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?
  20. 20.A 64-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?
  21. 21.A grocer mixes 8 kg of tea at ₹78 per kg with 7 kg of tea at ₹33 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. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 6 kg of tea at ₹39 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  27. 27.A grocer mixes 2 kg of tea at ₹75 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹94 per kg with 7 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 10 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?
  30. 30.Rice at ₹56 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 5 kg of tea at ₹115 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A grocer mixes 2 kg of tea at ₹28 per kg with 7 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹45 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A jug has 10 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?
  39. 39.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  40. 40.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 2 : 7?

Answer key

  1. 96
  2. 60
  3. 40
  4. 28
  5. 3
  6. 85
  7. 30
  8. 75
  9. 24
  10. 10
  11. 25
  12. 78
  13. 40
  14. 5
  15. 4
  16. 57
  17. 52
  18. 24
  19. 7
  20. 32
  21. 57
  22. 25
  23. 78
  24. 75
  25. 40
  26. 12
  27. 87
  28. 73
  29. 60
  30. 12
  31. 50
  32. 82
  33. 50
  34. 91
  35. 3
  36. 10
  37. 32
  38. 70
  39. 24
  40. 8

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