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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 858 · 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 ₹49 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹40 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.A jug has 20 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?
  4. 4.Rice at ₹51 per kg is mixed with rice at ₹63 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?
  5. 5.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  6. 6.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A jug has 25 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?
  8. 8.A grocer mixes 5 kg of tea at ₹65 per kg with 4 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A grocer mixes 8 kg of tea at ₹41 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  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 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  15. 15.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹63 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 3 kg of tea at ₹82 per kg with 3 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 11 kg of tea at ₹53 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹57 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  21. 21.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.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?
  23. 23.Rice at ₹59 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  24. 24.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  25. 25.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A grocer mixes 8 kg of tea at ₹71 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.Rice at ₹67 per kg is mixed with rice at ₹155 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 12 kg of tea at ₹50 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹57 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.A grocer mixes 4 kg of tea at ₹109 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹108 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹58 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?

Answer key

  1. 12
  2. 8
  3. 52
  4. 30
  5. 4
  6. 18
  7. 50
  8. 61
  9. 1
  10. 71
  11. 60
  12. 16
  13. 50
  14. 8
  15. 70
  16. 18
  17. 25
  18. 80
  19. 82
  20. 14
  21. 20
  22. 68
  23. 3
  24. 2
  25. 15
  26. 67
  27. 2
  28. 6
  29. 5
  30. 40
  31. 46
  32. 8
  33. 3
  34. 10
  35. 12
  36. 104
  37. 69
  38. 61
  39. 50
  40. 8

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