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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 596 · 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 10 kg of tea at ₹48 per kg with 5 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  3. 3.A jug has 20 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?
  4. 4.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.A grocer mixes 9 kg of tea at ₹80 per kg with 12 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A grocer mixes 8 kg of tea at ₹97 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  9. 9.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?
  10. 10.Rice at ₹50 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.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?
  12. 12.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  14. 14.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  15. 15.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  16. 16.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  17. 17.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?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.Rice at ₹52 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.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?
  22. 22.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?
  23. 23.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.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?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 5 kg of tea at ₹34 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹29 per kg is mixed with rice at ₹54 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?
  31. 31.A grocer mixes 10 kg of tea at ₹81 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹51 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹37 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.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 : 7?
  39. 39.A grocer mixes 12 kg of tea at ₹95 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?

Answer key

  1. 60
  2. 3
  3. 28
  4. 27
  5. 68
  6. 4
  7. 102
  8. 4
  9. 2
  10. 15
  11. 68
  12. 76
  13. 12
  14. 10
  15. 21
  16. 10
  17. 60
  18. 20
  19. 2
  20. 3
  21. 70
  22. 52
  23. 5
  24. 6
  25. 18
  26. 50
  27. 40
  28. 82
  29. 6
  30. 8
  31. 51
  32. 40
  33. 10
  34. 40
  35. 12
  36. 2
  37. 4
  38. 21
  39. 89
  40. 9

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