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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 527 · 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 ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.Rice at ₹21 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹96 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 50-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?
  6. 6.A 36-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?
  7. 7.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 1 : 4?
  8. 8.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹74 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.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 : 3?
  11. 11.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  12. 12.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 9 kg of tea at ₹34 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 11 kg of tea at ₹112 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  18. 18.Rice at ₹72 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  19. 19.Rice at ₹69 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.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?
  21. 21.Rice at ₹40 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  22. 22.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.Rice at ₹22 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A jug has 25 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?
  28. 28.A jug has 20 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?
  29. 29.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?
  30. 30.Rice at ₹40 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  31. 31.A grocer mixes 7 kg of tea at ₹47 per kg with 11 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 6 kg of tea at ₹73 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹42 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.Rice at ₹22 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹70 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 2 kg of the dearer rice?
  38. 38.Rice at ₹49 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  39. 39.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 15
  2. 8
  3. 15
  4. 107
  5. 20
  6. 12
  7. 7
  8. 25
  9. 6
  10. 4
  11. 6
  12. 76
  13. 12
  14. 40
  15. 69
  16. 88
  17. 7
  18. 28
  19. 1
  20. 28
  21. 21
  22. 16
  23. 20
  24. 25
  25. 8
  26. 3
  27. 50
  28. 60
  29. 70
  30. 35
  31. 58
  32. 50
  33. 24
  34. 8
  35. 9
  36. 50
  37. 12
  38. 7
  39. 2
  40. 5

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