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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 426 · 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 6 : 11?
  2. 2.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?
  3. 3.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.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?
  6. 6.A grocer mixes 8 kg of tea at ₹25 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹65 per kg with 5 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 11 kg of tea at ₹63 per kg with 11 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  14. 14.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹34 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 6 kg of tea at ₹110 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.A grocer mixes 3 kg of tea at ₹87 per kg with 9 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  21. 21.A grocer mixes 10 kg of tea at ₹81 per kg with 6 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹61 per kg with 11 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹61 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A 84-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?
  26. 26.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  28. 28.A jug has 10 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?
  29. 29.Rice at ₹32 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  32. 32.A 21-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?
  33. 33.Rice at ₹60 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.A grocer mixes 8 kg of tea at ₹47 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  38. 38.Rice at ₹22 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.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 : 7?

Answer key

  1. 36
  2. 25
  3. 15
  4. 6
  5. 50
  6. 34
  7. 24
  8. 3
  9. 35
  10. 70
  11. 40
  12. 65
  13. 20
  14. 6
  15. 50
  16. 25
  17. 88
  18. 4
  19. 102
  20. 20
  21. 78
  22. 24
  23. 50
  24. 18
  25. 21
  26. 20
  27. 8
  28. 60
  29. 42
  30. 25
  31. 8
  32. 28
  33. 21
  34. 54
  35. 36
  36. 20
  37. 10
  38. 7
  39. 3
  40. 20

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