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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 227 · 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 grocer mixes 2 kg of tea at ₹64 per kg with 10 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹31 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹57 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹36 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹51 per kg with 10 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹70 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹39 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 11 kg of tea at ₹90 per kg with 7 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 11 kg of tea at ₹105 per kg with 7 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 6 kg of tea at ₹80 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 5 kg of tea at ₹38 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹67 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.A grocer mixes 12 kg of tea at ₹79 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 10 kg of tea at ₹89 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 10 kg of tea at ₹45 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 3 kg of tea at ₹44 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  26. 26.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  27. 27.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  29. 29.Rice at ₹46 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A 24-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?
  31. 31.A grocer mixes 4 kg of tea at ₹93 per kg with 7 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 10 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?
  33. 33.A grocer mixes 12 kg of tea at ₹119 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 21-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?
  35. 35.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?
  36. 36.Rice at ₹40 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 6 kg of tea at ₹40 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 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?
  40. 40.A grocer mixes 6 kg of tea at ₹104 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 109
  2. 10
  3. 27
  4. 84
  5. 4
  6. 30
  7. 66
  8. 30
  9. 41
  10. 15
  11. 83
  12. 84
  13. 50
  14. 64
  15. 35
  16. 28
  17. 60
  18. 4
  19. 15
  20. 91
  21. 80
  22. 67
  23. 92
  24. 48
  25. 24
  26. 2
  27. 50
  28. 36
  29. 4
  30. 3
  31. 86
  32. 70
  33. 91
  34. 9
  35. 40
  36. 1
  37. 68
  38. 33
  39. 20
  40. 94

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