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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 499 · 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.Rice at ₹32 per kg is mixed with rice at ₹46 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?
  2. 2.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  3. 3.A 30-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?
  4. 4.A 52-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?
  5. 5.A grocer mixes 4 kg of tea at ₹78 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 12 kg of tea at ₹32 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹111 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.Rice at ₹20 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹70 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.Rice at ₹62 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A 27-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?
  14. 14.A 40-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?
  15. 15.A grocer mixes 6 kg of tea at ₹56 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.Rice at ₹76 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹36 per kg with 12 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 30-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?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A 27-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?
  22. 22.Rice at ₹75 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  25. 25.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  26. 26.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  27. 27.A jug has 10 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?
  28. 28.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  29. 29.A jug has 50 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?
  30. 30.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  31. 31.A grocer mixes 6 kg of tea at ₹109 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹51 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  34. 34.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.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?
  36. 36.A 81-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?
  37. 37.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  38. 38.A 18-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?
  39. 39.Rice at ₹27 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?

Answer key

  1. 6
  2. 20
  3. 20
  4. 16
  5. 52
  6. 37
  7. 81
  8. 2
  9. 2
  10. 52
  11. 5
  12. 2
  13. 27
  14. 10
  15. 83
  16. 18
  17. 20
  18. 29
  19. 10
  20. 6
  21. 3
  22. 12
  23. 6
  24. 10
  25. 14
  26. 12
  27. 80
  28. 21
  29. 25
  30. 8
  31. 87
  32. 50
  33. 8
  34. 8
  35. 75
  36. 18
  37. 24
  38. 18
  39. 40
  40. 12

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