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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 768 · 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 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  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 : 3?
  3. 3.Rice at ₹67 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  4. 4.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?
  5. 5.A jug has 20 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?
  6. 6.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  7. 7.A jug has 10 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?
  8. 8.A grocer mixes 12 kg of tea at ₹64 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  10. 10.A grocer mixes 8 kg of tea at ₹98 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 30-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?
  12. 12.Rice at ₹44 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  14. 14.Rice at ₹45 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  18. 18.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 88-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.A grocer mixes 8 kg of tea at ₹21 per kg with 4 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.Rice at ₹20 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A grocer mixes 12 kg of tea at ₹84 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹81 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 3 kg of tea at ₹114 per kg with 10 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  31. 31.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  34. 34.Rice at ₹53 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.A grocer mixes 7 kg of tea at ₹76 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 8 kg of tea at ₹118 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 5 kg of tea at ₹89 per kg with 10 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹40 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.Rice at ₹77 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 2
  2. 3
  3. 10
  4. 75
  5. 55
  6. 24
  7. 80
  8. 79
  9. 12
  10. 80
  11. 18
  12. 9
  13. 7
  14. 20
  15. 75
  16. 36
  17. 6
  18. 60
  19. 32
  20. 15
  21. 37
  22. 50
  23. 2
  24. 4
  25. 96
  26. 53
  27. 84
  28. 12
  29. 50
  30. 2
  31. 25
  32. 50
  33. 30
  34. 6
  35. 74
  36. 113
  37. 51
  38. 4
  39. 30
  40. 6

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