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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 943 · 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 ₹47 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹83 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 8 kg of tea at ₹69 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.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?
  11. 11.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.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?
  13. 13.A grocer mixes 8 kg of tea at ₹105 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 9 kg of tea at ₹28 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.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 5 : 6?
  17. 17.Rice at ₹76 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  19. 19.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 8 kg of tea at ₹111 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹47 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹29 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  26. 26.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  27. 27.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?
  28. 28.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 : 9?
  29. 29.A grocer mixes 5 kg of tea at ₹23 per kg with 6 kg of tea at ₹56 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.A grocer mixes 8 kg of tea at ₹53 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  34. 34.A grocer mixes 12 kg of tea at ₹46 per kg with 8 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 12 kg of tea at ₹20 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹69 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 48-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?
  38. 38.A grocer mixes 10 kg of tea at ₹49 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 10-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?
  40. 40.A grocer mixes 7 kg of tea at ₹89 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 8
  3. 4
  4. 77
  5. 60
  6. 27
  7. 4
  8. 7
  9. 30
  10. 60
  11. 14
  12. 25
  13. 90
  14. 37
  15. 60
  16. 12
  17. 35
  18. 24
  19. 10
  20. 50
  21. 101
  22. 4
  23. 68
  24. 28
  25. 28
  26. 40
  27. 60
  28. 28
  29. 41
  30. 50
  31. 61
  32. 24
  33. 8
  34. 70
  35. 27
  36. 66
  37. 16
  38. 55
  39. 8
  40. 92

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