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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 113 · 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 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  2. 2.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  3. 3.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 5 kg of the dearer rice?
  4. 4.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 2 kg of tea at ₹51 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹64 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 7 kg of the dearer rice?
  7. 7.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 : 8?
  8. 8.A grocer mixes 10 kg of tea at ₹76 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.A grocer mixes 11 kg of tea at ₹96 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹77 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  13. 13.A grocer mixes 12 kg of tea at ₹35 per kg with 9 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.Rice at ₹77 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹114 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹79 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A grocer mixes 8 kg of tea at ₹102 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 12 kg of tea at ₹99 per kg with 6 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 2 kg of tea at ₹23 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 63-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?
  27. 27.A grocer mixes 12 kg of tea at ₹24 per kg with 12 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 36-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?
  29. 29.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 : 8?
  30. 30.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹120 per kg with 5 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 8 kg of tea at ₹67 per kg with 5 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 5 kg of tea at ₹50 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  39. 39.A 45-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?
  40. 40.Rice at ₹66 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?

Answer key

  1. 36
  2. 8
  3. 15
  4. 50
  5. 33
  6. 14
  7. 7
  8. 82
  9. 7
  10. 88
  11. 10
  12. 6
  13. 47
  14. 25
  15. 25
  16. 28
  17. 9
  18. 113
  19. 15
  20. 81
  21. 75
  22. 25
  23. 93
  24. 60
  25. 34
  26. 7
  27. 45
  28. 12
  29. 6
  30. 50
  31. 3
  32. 106
  33. 70
  34. 2
  35. 3
  36. 82
  37. 94
  38. 21
  39. 5
  40. 25

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