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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 710 · 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 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  2. 2.A grocer mixes 8 kg of tea at ₹68 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹30 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  4. 4.Rice at ₹40 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  6. 6.A grocer mixes 7 kg of tea at ₹84 per kg with 7 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  8. 8.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?
  9. 9.A jug has 10 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?
  10. 10.A 100-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?
  11. 11.Rice at ₹64 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹66 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 45-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?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A grocer mixes 12 kg of tea at ₹97 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  18. 18.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 4 : 7?
  19. 19.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 : 2?
  20. 20.A grocer mixes 12 kg of tea at ₹70 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.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?
  23. 23.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?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.A grocer mixes 4 kg of tea at ₹99 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹60 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  28. 28.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  29. 29.Rice at ₹20 per kg is mixed with rice at ₹47 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?
  30. 30.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?
  31. 31.A grocer mixes 9 kg of tea at ₹105 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹47 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  34. 34.A grocer mixes 11 kg of tea at ₹73 per kg with 2 kg of tea at ₹86 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. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹24 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.A grocer mixes 8 kg of tea at ₹82 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹74 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  39. 39.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  40. 40.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 6
  2. 46
  3. 24
  4. 4
  5. 24
  6. 82
  7. 10
  8. 60
  9. 55
  10. 40
  11. 4
  12. 38
  13. 9
  14. 5
  15. 3
  16. 64
  17. 12
  18. 6
  19. 7
  20. 76
  21. 16
  22. 50
  23. 68
  24. 2
  25. 51
  26. 70
  27. 8
  28. 20
  29. 25
  30. 60
  31. 111
  32. 57
  33. 20
  34. 75
  35. 25
  36. 3
  37. 75
  38. 5
  39. 15
  40. 36

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