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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 48 · 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 jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.Rice at ₹31 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A 77-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?
  5. 5.A jug has 40 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 ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.A 27-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?
  8. 8.A grocer mixes 6 kg of tea at ₹97 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  10. 10.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  11. 11.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 1 : 2?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 4 kg of tea at ₹82 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 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?
  16. 16.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  17. 17.Rice at ₹41 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.A grocer mixes 7 kg of tea at ₹33 per kg with 7 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 5 kg of tea at ₹41 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹81 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 6 kg of tea at ₹75 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹26 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  25. 25.A grocer mixes 10 kg of tea at ₹28 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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 : 4?
  27. 27.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?
  28. 28.Rice at ₹36 per kg is mixed with rice at ₹102 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?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.A grocer mixes 12 kg of tea at ₹55 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹116 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A grocer mixes 9 kg of tea at ₹60 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 6 kg of tea at ₹88 per kg with 9 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 2 kg of tea at ₹60 per kg with 5 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹67 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  38. 38.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?
  39. 39.Rice at ₹55 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 25
  2. 40
  3. 1
  4. 28
  5. 52
  6. 5
  7. 3
  8. 81
  9. 6
  10. 12
  11. 24
  12. 50
  13. 36
  14. 88
  15. 60
  16. 6
  17. 35
  18. 47
  19. 50
  20. 77
  21. 45
  22. 25
  23. 67
  24. 30
  25. 27
  26. 12
  27. 50
  28. 10
  29. 8
  30. 50
  31. 76
  32. 52
  33. 51
  34. 106
  35. 75
  36. 15
  37. 28
  38. 40
  39. 15
  40. 75

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