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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 244 · 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 10 kg of tea at ₹25 per kg with 5 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  3. 3.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  4. 4.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  5. 5.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.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?
  7. 7.A grocer mixes 7 kg of tea at ₹104 per kg with 7 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A grocer mixes 8 kg of tea at ₹74 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A jug has 20 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?
  12. 12.A 72-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?
  13. 13.A grocer mixes 7 kg of tea at ₹87 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 11 kg of tea at ₹94 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 12 kg of tea at ₹63 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  19. 19.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 4 : 3?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹118 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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 1 : 3?
  25. 25.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  26. 26.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  27. 27.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹93 per kg with 11 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.Rice at ₹29 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.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 1 : 1?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A grocer mixes 7 kg of tea at ₹116 per kg with 12 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 6 kg of tea at ₹44 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹91 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹112 per kg with 5 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 38
  2. 40
  3. 10
  4. 24
  5. 6
  6. 76
  7. 96
  8. 20
  9. 53
  10. 3
  11. 28
  12. 27
  13. 57
  14. 106
  15. 50
  16. 5
  17. 6
  18. 35
  19. 10
  20. 50
  21. 25
  22. 30
  23. 116
  24. 30
  25. 21
  26. 20
  27. 15
  28. 60
  29. 16
  30. 12
  31. 25
  32. 6
  33. 8
  34. 20
  35. 20
  36. 104
  37. 54
  38. 74
  39. 67
  40. 40

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