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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 877 · 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 jug has 50 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?
  2. 2.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?
  3. 3.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  4. 4.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  5. 5.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  6. 6.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹27 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.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?
  10. 10.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  12. 12.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹57 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A grocer mixes 3 kg of tea at ₹116 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 11 kg of tea at ₹79 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  18. 18.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹81 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹99 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?
  22. 22.A grocer mixes 3 kg of tea at ₹61 per kg with 10 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹66 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.Rice at ₹27 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 21 kg of the dearer rice?
  26. 26.Rice at ₹30 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.Rice at ₹48 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹80 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹67 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.Rice at ₹73 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.A grocer mixes 11 kg of tea at ₹33 per kg with 11 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.A grocer mixes 4 kg of tea at ₹33 per kg with 6 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  36. 36.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?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹34 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹61 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  40. 40.A grocer mixes 10 kg of tea at ₹78 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 50
  3. 8
  4. 4
  5. 10
  6. 36
  7. 15
  8. 10
  9. 40
  10. 50
  11. 40
  12. 18
  13. 50
  14. 30
  15. 89
  16. 67
  17. 12
  18. 4
  19. 16
  20. 102
  21. 12
  22. 31
  23. 20
  24. 8
  25. 7
  26. 6
  27. 35
  28. 58
  29. 14
  30. 25
  31. 5
  32. 64
  33. 21
  34. 57
  35. 12
  36. 40
  37. 2
  38. 46
  39. 48
  40. 100

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