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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 874 · 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 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 : 3?
  2. 2.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  3. 3.Rice at ₹64 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 3 kg of the dearer rice?
  4. 4.Rice at ₹22 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A grocer mixes 3 kg of tea at ₹32 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.Rice at ₹63 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 6 kg of the dearer rice?
  11. 11.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  12. 12.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?
  13. 13.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?
  14. 14.A jug has 10 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?
  15. 15.A grocer mixes 2 kg of tea at ₹23 per kg with 12 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  17. 17.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.Rice at ₹64 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.Rice at ₹33 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  21. 21.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 1 : 1?
  22. 22.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?
  23. 23.A grocer mixes 2 kg of tea at ₹96 per kg with 12 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 25 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?
  25. 25.A jug has 20 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 jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  28. 28.Rice at ₹36 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A 32-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?
  30. 30.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  31. 31.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  32. 32.A grocer mixes 10 kg of tea at ₹112 per kg with 10 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹40 per kg is mixed with rice at ₹112 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?
  34. 34.A grocer mixes 5 kg of tea at ₹29 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹74 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 3 kg of tea at ₹68 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 14
  2. 16
  3. 5
  4. 16
  5. 86
  6. 12
  7. 24
  8. 28
  9. 3
  10. 1
  11. 8
  12. 40
  13. 80
  14. 60
  15. 35
  16. 15
  17. 1
  18. 1
  19. 4
  20. 40
  21. 4
  22. 50
  23. 84
  24. 50
  25. 28
  26. 25
  27. 18
  28. 24
  29. 16
  30. 3
  31. 6
  32. 113
  33. 10
  34. 71
  35. 24
  36. 50
  37. 3
  38. 60
  39. 88
  40. 18

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