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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 786 · 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 ₹27 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.Rice at ₹21 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.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?
  6. 6.A grocer mixes 11 kg of tea at ₹47 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  9. 9.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?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.Rice at ₹64 per kg is mixed with rice at ₹141 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  12. 12.A 36-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?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.Rice at ₹54 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹69 per kg with 6 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 9 kg of tea at ₹21 per kg with 3 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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 : 7?
  18. 18.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.Rice at ₹76 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  21. 21.Rice at ₹37 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.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 : 9?
  23. 23.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?
  24. 24.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.A 50-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?
  26. 26.A grocer mixes 3 kg of tea at ₹31 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  28. 28.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  29. 29.Rice at ₹40 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A 72-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?
  32. 32.Rice at ₹54 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  37. 37.A grocer mixes 5 kg of tea at ₹82 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹47 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.Rice at ₹76 per kg is mixed with rice at ₹85 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?

Answer key

  1. 3
  2. 36
  3. 4
  4. 24
  5. 68
  6. 56
  7. 12
  8. 20
  9. 50
  10. 8
  11. 35
  12. 16
  13. 12
  14. 42
  15. 83
  16. 28
  17. 9
  18. 27
  19. 4
  20. 40
  21. 24
  22. 27
  23. 50
  24. 2
  25. 10
  26. 35
  27. 24
  28. 8
  29. 24
  30. 60
  31. 9
  32. 30
  33. 14
  34. 4
  35. 12
  36. 14
  37. 55
  38. 5
  39. 10
  40. 16

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