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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 298 · 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.Rice at ₹72 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹77 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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 : 4?
  4. 4.A grocer mixes 10 kg of tea at ₹119 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 50-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?
  6. 6.Rice at ₹38 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  7. 7.Rice at ₹61 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹33 per kg with 12 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹109 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 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?
  11. 11.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  12. 12.Rice at ₹53 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹78 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹42 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 2 kg of tea at ₹107 per kg with 2 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 72-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?
  23. 23.A grocer mixes 3 kg of tea at ₹47 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹97 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  27. 27.A grocer mixes 4 kg of tea at ₹112 per kg with 8 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  30. 30.Rice at ₹62 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.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?
  33. 33.A grocer mixes 2 kg of tea at ₹59 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹94 per kg with 7 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 8 kg of tea at ₹48 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.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?
  39. 39.A grocer mixes 2 kg of tea at ₹106 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 30
  2. 65
  3. 8
  4. 104
  5. 40
  6. 28
  7. 25
  8. 69
  9. 93
  10. 55
  11. 16
  12. 3
  13. 85
  14. 25
  15. 24
  16. 50
  17. 35
  18. 40
  19. 91
  20. 60
  21. 4
  22. 27
  23. 58
  24. 106
  25. 50
  26. 18
  27. 114
  28. 36
  29. 30
  30. 2
  31. 9
  32. 5
  33. 103
  34. 1
  35. 59
  36. 75
  37. 50
  38. 68
  39. 75
  40. 75

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