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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 152 · 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 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 6 kg of tea at ₹82 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 18-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?
  4. 4.A grocer mixes 4 kg of tea at ₹54 per kg with 11 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹25 per kg with 10 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹49 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  7. 7.A jug has 40 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?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹66 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.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?
  12. 12.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 8-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?
  14. 14.Rice at ₹41 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.A grocer mixes 7 kg of tea at ₹28 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A jug has 10 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?
  20. 20.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.A grocer mixes 12 kg of tea at ₹93 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  24. 24.A 54-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?
  25. 25.A grocer mixes 4 kg of tea at ₹86 per kg with 8 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 8 kg of tea at ₹84 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 5 kg of tea at ₹61 per kg with 5 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  30. 30.A grocer mixes 9 kg of tea at ₹75 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 32-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?
  32. 32.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?
  33. 33.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?
  34. 34.Rice at ₹79 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  35. 35.A grocer mixes 8 kg of tea at ₹106 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.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?
  38. 38.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  39. 39.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?
  40. 40.Rice at ₹40 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 50
  2. 96
  3. 6
  4. 43
  5. 60
  6. 35
  7. 28
  8. 10
  9. 86
  10. 3
  11. 60
  12. 70
  13. 2
  14. 24
  15. 42
  16. 60
  17. 50
  18. 9
  19. 60
  20. 8
  21. 24
  22. 57
  23. 12
  24. 27
  25. 62
  26. 92
  27. 47
  28. 52
  29. 12
  30. 69
  31. 12
  32. 50
  33. 36
  34. 35
  35. 65
  36. 40
  37. 70
  38. 4
  39. 6
  40. 18

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