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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 91 · 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 grocer mixes 2 kg of tea at ₹71 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 20 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?
  3. 3.Rice at ₹63 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  6. 6.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  8. 8.Rice at ₹48 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 32 kg of the dearer rice?
  9. 9.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  10. 10.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.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?
  13. 13.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?
  14. 14.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹44 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 10 kg of the dearer rice?
  18. 18.A jug has 10 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?
  19. 19.A grocer mixes 4 kg of tea at ₹83 per kg with 12 kg of tea at ₹75 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.Rice at ₹51 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A 27-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?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  25. 25.A 66-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?
  26. 26.Rice at ₹32 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹41 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 2 kg of tea at ₹39 per kg with 8 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 11 kg of tea at ₹46 per kg with 7 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹36 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹47 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹115 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 12 kg of tea at ₹74 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  40. 40.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 70
  2. 28
  3. 24
  4. 30
  5. 14
  6. 16
  7. 3
  8. 8
  9. 42
  10. 50
  11. 32
  12. 60
  13. 50
  14. 4
  15. 25
  16. 1
  17. 8
  18. 70
  19. 77
  20. 50
  21. 16
  22. 6
  23. 1
  24. 10
  25. 6
  26. 3
  27. 15
  28. 37
  29. 103
  30. 67
  31. 18
  32. 3
  33. 69
  34. 42
  35. 16
  36. 24
  37. 99
  38. 67
  39. 9
  40. 6

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