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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 677 · 40 questions
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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 ₹76 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  2. 2.Rice at ₹35 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹110 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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 : 6?
  5. 5.A grocer mixes 4 kg of tea at ₹35 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.Rice at ₹47 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹40 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 7 kg of tea at ₹106 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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 3 : 7?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹50 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.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?
  15. 15.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?
  16. 16.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?
  17. 17.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹117 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹29 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 18-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?
  21. 21.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?
  22. 22.A grocer mixes 2 kg of tea at ₹35 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹39 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹41 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A 35-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?
  29. 29.Rice at ₹53 per kg is mixed with rice at ₹64 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?
  30. 30.Rice at ₹75 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  31. 31.Rice at ₹45 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  32. 32.Rice at ₹50 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  33. 33.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  34. 34.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.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?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.Rice at ₹45 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹24 per kg with 4 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 21
  2. 2
  3. 80
  4. 9
  5. 28
  6. 18
  7. 20
  8. 32
  9. 79
  10. 8
  11. 2
  12. 38
  13. 2
  14. 50
  15. 36
  16. 50
  17. 36
  18. 112
  19. 53
  20. 4
  21. 40
  22. 77
  23. 3
  24. 50
  25. 16
  26. 50
  27. 28
  28. 20
  29. 18
  30. 24
  31. 16
  32. 6
  33. 20
  34. 4
  35. 9
  36. 25
  37. 25
  38. 20
  39. 15
  40. 44

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