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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 876 · 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 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  3. 3.A 28-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?
  4. 4.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?
  5. 5.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  6. 6.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.A grocer mixes 6 kg of tea at ₹101 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹61 per kg with 12 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹102 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹60 per kg is mixed with rice at ₹76 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?
  12. 12.A 56-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?
  13. 13.A 72-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?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  17. 17.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 1 : 1?
  18. 18.A grocer mixes 11 kg of tea at ₹39 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  20. 20.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  21. 21.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.Rice at ₹62 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  24. 24.A grocer mixes 12 kg of tea at ₹38 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A grocer mixes 8 kg of tea at ₹67 per kg with 10 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 12 kg of tea at ₹95 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 63-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?
  29. 29.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  30. 30.A 15-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?
  31. 31.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 2 kg of tea at ₹82 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹46 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 5 kg of tea at ₹21 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  37. 37.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.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?
  39. 39.A grocer mixes 5 kg of tea at ₹85 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹61 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 21
  2. 6
  3. 28
  4. 50
  5. 14
  6. 4
  7. 73
  8. 36
  9. 73
  10. 86
  11. 40
  12. 8
  13. 18
  14. 5
  15. 3
  16. 21
  17. 30
  18. 31
  19. 20
  20. 6
  21. 10
  22. 4
  23. 40
  24. 48
  25. 6
  26. 52
  27. 75
  28. 36
  29. 15
  30. 15
  31. 50
  32. 61
  33. 14
  34. 8
  35. 39
  36. 8
  37. 8
  38. 40
  39. 63
  40. 7

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