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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 575 · 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 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹45 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹45 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.Rice at ₹63 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  12. 12.A grocer mixes 9 kg of tea at ₹35 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 30-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?
  14. 14.Rice at ₹62 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  15. 15.A grocer mixes 6 kg of tea at ₹64 per kg with 6 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹80 per kg with 3 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  18. 18.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹81 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹46 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 5 kg of tea at ₹37 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 7 kg of tea at ₹21 per kg with 12 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A 21-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  30. 30.A grocer mixes 2 kg of tea at ₹60 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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 : 8?
  32. 32.A jug has 20 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?
  33. 33.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?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.Rice at ₹66 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A 6-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?
  38. 38.A grocer mixes 4 kg of tea at ₹47 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?

Answer key

  1. 4
  2. 4
  3. 15
  4. 29
  5. 6
  6. 40
  7. 15
  8. 40
  9. 18
  10. 16
  11. 10
  12. 59
  13. 20
  14. 7
  15. 67
  16. 71
  17. 20
  18. 18
  19. 57
  20. 10
  21. 36
  22. 25
  23. 38
  24. 10
  25. 32
  26. 20
  27. 57
  28. 25
  29. 9
  30. 74
  31. 27
  32. 40
  33. 50
  34. 25
  35. 32
  36. 2
  37. 6
  38. 70
  39. 36
  40. 35

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