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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 303 · 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 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  2. 2.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?
  3. 3.A jug has 25 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?
  4. 4.A grocer mixes 6 kg of tea at ₹58 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  6. 6.Rice at ₹33 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  8. 8.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.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?
  11. 11.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  12. 12.Rice at ₹57 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.Rice at ₹46 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A 56-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?
  15. 15.Rice at ₹30 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.A jug has 10 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?
  17. 17.Rice at ₹80 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹20 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 12 kg of tea at ₹85 per kg with 11 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 12 kg of tea at ₹114 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 39-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?
  23. 23.A grocer mixes 12 kg of tea at ₹72 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹54 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.Rice at ₹41 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  29. 29.Rice at ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A grocer mixes 5 kg of tea at ₹107 per kg with 10 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹39 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.Rice at ₹54 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 8 kg of tea at ₹35 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  37. 37.Rice at ₹28 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  39. 39.A 78-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?
  40. 40.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 12
  2. 36
  3. 50
  4. 91
  5. 5
  6. 16
  7. 18
  8. 16
  9. 3
  10. 70
  11. 12
  12. 12
  13. 30
  14. 16
  15. 25
  16. 40
  17. 24
  18. 50
  19. 14
  20. 63
  21. 113
  22. 12
  23. 54
  24. 60
  25. 3
  26. 8
  27. 18
  28. 7
  29. 18
  30. 69
  31. 30
  32. 18
  33. 29
  34. 36
  35. 6
  36. 35
  37. 4
  38. 10
  39. 6
  40. 6

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