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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 369 · 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 ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹45 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A jug has 20 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?
  5. 5.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹60 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 5 kg of tea at ₹32 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹36 per kg with 12 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹21 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  12. 12.Rice at ₹31 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  14. 14.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  16. 16.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?
  17. 17.A grocer mixes 5 kg of tea at ₹36 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹74 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  22. 22.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A grocer mixes 3 kg of tea at ₹77 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.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 : 5?
  27. 27.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  29. 29.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹36 per kg with 9 kg of tea at ₹32 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 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  32. 32.A jug has 40 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?
  33. 33.A grocer mixes 4 kg of tea at ₹71 per kg with 12 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹87 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹39 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  38. 38.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  39. 39.Rice at ₹52 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.A grocer mixes 2 kg of tea at ₹81 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 12
  3. 1
  4. 55
  5. 12
  6. 14
  7. 50
  8. 38
  9. 75
  10. 8
  11. 40
  12. 12
  13. 15
  14. 6
  15. 4
  16. 50
  17. 30
  18. 50
  19. 40
  20. 50
  21. 36
  22. 36
  23. 61
  24. 60
  25. 36
  26. 21
  27. 80
  28. 12
  29. 5
  30. 33
  31. 27
  32. 20
  33. 65
  34. 50
  35. 78
  36. 68
  37. 12
  38. 40
  39. 5
  40. 43

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