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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 452 · 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 6 kg of tea at ₹117 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 12 kg of tea at ₹61 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  5. 5.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A grocer mixes 11 kg of tea at ₹89 per kg with 11 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹105 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 72-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?
  10. 10.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  11. 11.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 : 11?
  12. 12.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.Rice at ₹56 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.A 25-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?
  18. 18.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  19. 19.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  20. 20.Rice at ₹80 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.Rice at ₹51 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  22. 22.A 24-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?
  23. 23.A grocer mixes 9 kg of tea at ₹30 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A grocer mixes 5 kg of tea at ₹102 per kg with 12 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.Rice at ₹45 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 12 kg of tea at ₹50 per kg with 9 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 5 kg of tea at ₹27 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 9-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?
  32. 32.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?
  33. 33.Rice at ₹56 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.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?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.A 30-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?
  39. 39.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹48 per kg with 11 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 75
  2. 64
  3. 18
  4. 2
  5. 6
  6. 69
  7. 12
  8. 84
  9. 32
  10. 12
  11. 8
  12. 5
  13. 42
  14. 15
  15. 4
  16. 18
  17. 5
  18. 15
  19. 35
  20. 15
  21. 28
  22. 3
  23. 60
  24. 16
  25. 90
  26. 35
  27. 2
  28. 6
  29. 74
  30. 87
  31. 9
  32. 55
  33. 6
  34. 8
  35. 4
  36. 50
  37. 5
  38. 30
  39. 16
  40. 59

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