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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 725 · 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 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.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?
  3. 3.A jug has 40 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?
  4. 4.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?
  5. 5.A jug has 50 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?
  6. 6.Rice at ₹26 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  7. 7.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?
  8. 8.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  9. 9.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?
  10. 10.Rice at ₹34 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹55 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  16. 16.A 36-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?
  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.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?
  19. 19.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹43 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 10 kg of tea at ₹41 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 4 : 11?
  23. 23.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 : 9?
  24. 24.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  25. 25.A jug has 10 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?
  26. 26.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  27. 27.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A 36-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?
  29. 29.A grocer mixes 7 kg of tea at ₹116 per kg with 9 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  31. 31.A grocer mixes 5 kg of tea at ₹111 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 4 kg of tea at ₹48 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹38 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹104 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 40 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?
  36. 36.A grocer mixes 10 kg of tea at ₹101 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹21 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹100 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹61 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 21-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?

Answer key

  1. 27
  2. 75
  3. 40
  4. 70
  5. 50
  6. 6
  7. 40
  8. 16
  9. 36
  10. 18
  11. 60
  12. 4
  13. 8
  14. 80
  15. 6
  16. 12
  17. 60
  18. 50
  19. 18
  20. 57
  21. 37
  22. 8
  23. 8
  24. 24
  25. 40
  26. 9
  27. 12
  28. 6
  29. 89
  30. 7
  31. 51
  32. 66
  33. 10
  34. 96
  35. 28
  36. 77
  37. 30
  38. 87
  39. 64
  40. 3

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