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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 307 · 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 45-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?
  2. 2.Rice at ₹42 per kg is mixed with rice at ₹98 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?
  3. 3.Rice at ₹21 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹65 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?
  5. 5.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.A grocer mixes 8 kg of tea at ₹37 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.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 10 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 4 kg of tea at ₹54 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.Rice at ₹39 per kg is mixed with rice at ₹60 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?
  13. 13.Rice at ₹49 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹63 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A grocer mixes 9 kg of tea at ₹60 per kg with 7 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  18. 18.A 40-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?
  19. 19.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?
  20. 20.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?
  21. 21.Rice at ₹26 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹95 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹36 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  28. 28.A grocer mixes 3 kg of tea at ₹89 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 10 kg of tea at ₹82 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹39 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.Rice at ₹76 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  35. 35.A grocer mixes 10 kg of tea at ₹49 per kg with 7 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 45-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?
  37. 37.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  38. 38.A grocer mixes 2 kg of tea at ₹28 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹120 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹110 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 36
  2. 30
  3. 9
  4. 6
  5. 12
  6. 49
  7. 60
  8. 15
  9. 75
  10. 78
  11. 4
  12. 8
  13. 6
  14. 58
  15. 50
  16. 53
  17. 30
  18. 15
  19. 50
  20. 60
  21. 25
  22. 4
  23. 70
  24. 99
  25. 1
  26. 18
  27. 10
  28. 81
  29. 88
  30. 50
  31. 36
  32. 5
  33. 5
  34. 30
  35. 77
  36. 18
  37. 4
  38. 49
  39. 57
  40. 95

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