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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 684 · 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 ₹39 per kg is mixed with rice at ₹75 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?
  2. 2.Rice at ₹41 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.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 : 5?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹39 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹79 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.Rice at ₹24 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  10. 10.Rice at ₹20 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  12. 12.A 48-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?
  13. 13.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.Rice at ₹49 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.Rice at ₹70 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹70 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹74 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 3 kg of tea at ₹25 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹73 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.Rice at ₹48 per kg is mixed with rice at ₹70 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?
  24. 24.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  25. 25.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?
  26. 26.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  27. 27.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 12 kg of tea at ₹73 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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 : 4?
  30. 30.A jug has 10 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?
  31. 31.A grocer mixes 10 kg of tea at ₹48 per kg with 10 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 48-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?
  33. 33.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A 18-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?
  35. 35.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  36. 36.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?
  37. 37.A 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  38. 38.A 25-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?
  39. 39.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  40. 40.A grocer mixes 6 kg of tea at ₹27 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 24
  2. 5
  3. 12
  4. 60
  5. 1
  6. 24
  7. 63
  8. 4
  9. 15
  10. 8
  11. 7
  12. 12
  13. 6
  14. 35
  15. 3
  16. 24
  17. 6
  18. 6
  19. 15
  20. 41
  21. 49
  22. 3
  23. 18
  24. 12
  25. 40
  26. 21
  27. 20
  28. 63
  29. 3
  30. 55
  31. 34
  32. 12
  33. 75
  34. 6
  35. 16
  36. 60
  37. 9
  38. 5
  39. 12
  40. 29

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