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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 897 · 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 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹52 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹112 per kg with 2 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A 36-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?
  9. 9.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  10. 10.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?
  11. 11.A 63-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?
  12. 12.Rice at ₹53 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.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?
  14. 14.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹39 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.A grocer mixes 8 kg of tea at ₹22 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 11 kg of tea at ₹86 per kg with 11 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  20. 20.Rice at ₹55 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  22. 22.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  24. 24.A grocer mixes 3 kg of tea at ₹93 per kg with 9 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.A 90-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?
  27. 27.A grocer mixes 12 kg of tea at ₹116 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 9-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?
  29. 29.A 50-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?
  30. 30.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?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.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?
  34. 34.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 99-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?
  36. 36.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹28 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹103 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 18
  2. 18
  3. 16
  4. 76
  5. 3
  6. 110
  7. 24
  8. 9
  9. 12
  10. 28
  11. 14
  12. 4
  13. 12
  14. 50
  15. 4
  16. 24
  17. 64
  18. 2
  19. 6
  20. 6
  21. 15
  22. 5
  23. 18
  24. 84
  25. 4
  26. 18
  27. 105
  28. 9
  29. 20
  30. 50
  31. 30
  32. 30
  33. 40
  34. 50
  35. 18
  36. 50
  37. 4
  38. 94
  39. 5
  40. 52

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