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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 839 · 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 ₹53 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 14 kg of the dearer rice?
  2. 2.A grocer mixes 9 kg of tea at ₹64 per kg with 6 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.Rice at ₹40 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 3 kg of the dearer rice?
  5. 5.A grocer mixes 8 kg of tea at ₹91 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 10 kg of tea at ₹37 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.A grocer mixes 9 kg of tea at ₹39 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.A 78-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?
  16. 16.Rice at ₹52 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  17. 17.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹58 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 50 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?
  21. 21.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?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A grocer mixes 6 kg of tea at ₹116 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹42 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?
  26. 26.A 40-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?
  27. 27.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?
  28. 28.A grocer mixes 5 kg of tea at ₹95 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.Rice at ₹34 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.Rice at ₹61 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  33. 33.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  34. 34.Rice at ₹44 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  36. 36.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?
  37. 37.A grocer mixes 10 kg of tea at ₹40 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 11 kg of tea at ₹107 per kg with 11 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 24-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?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 7
  2. 52
  3. 5
  4. 4
  5. 96
  6. 25
  7. 42
  8. 64
  9. 24
  10. 2
  11. 51
  12. 52
  13. 70
  14. 6
  15. 24
  16. 24
  17. 6
  18. 4
  19. 56
  20. 50
  21. 50
  22. 3
  23. 6
  24. 68
  25. 1
  26. 16
  27. 60
  28. 77
  29. 12
  30. 15
  31. 3
  32. 18
  33. 12
  34. 5
  35. 8
  36. 27
  37. 44
  38. 111
  39. 8
  40. 20

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