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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 232 · 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 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?
  2. 2.A grocer mixes 2 kg of tea at ₹21 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 10 kg of tea at ₹39 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  5. 5.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A grocer mixes 8 kg of tea at ₹47 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 12 kg of tea at ₹59 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.Rice at ₹72 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  13. 13.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A grocer mixes 10 kg of tea at ₹112 per kg with 2 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  16. 16.Rice at ₹59 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 8 kg of tea at ₹90 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 45-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?
  20. 20.Rice at ₹45 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  21. 21.A grocer mixes 12 kg of tea at ₹36 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.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 : 6?
  24. 24.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?
  25. 25.A grocer mixes 8 kg of tea at ₹68 per kg with 8 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹51 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  28. 28.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  29. 29.A grocer mixes 12 kg of tea at ₹37 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹71 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.A 20-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?
  33. 33.A 72-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?
  34. 34.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  35. 35.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  36. 36.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 12 kg of tea at ₹49 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 50
  2. 65
  3. 66
  4. 12
  5. 4
  6. 12
  7. 6
  8. 55
  9. 25
  10. 57
  11. 1
  12. 12
  13. 32
  14. 108
  15. 42
  16. 12
  17. 36
  18. 89
  19. 15
  20. 42
  21. 47
  22. 25
  23. 9
  24. 25
  25. 72
  26. 74
  27. 21
  28. 32
  29. 77
  30. 82
  31. 16
  32. 6
  33. 36
  34. 9
  35. 5
  36. 20
  37. 12
  38. 52
  39. 44
  40. 14

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