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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 574 · 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 10-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?
  2. 2.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.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?
  4. 4.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  5. 5.Rice at ₹21 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹37 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  9. 9.A 6-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?
  10. 10.A grocer mixes 5 kg of tea at ₹46 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 11 kg of tea at ₹23 per kg with 11 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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 2 : 9?
  13. 13.A jug has 40 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?
  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 ₹57 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  16. 16.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  17. 17.Rice at ₹21 per kg is mixed with rice at ₹46 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?
  18. 18.A 90-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 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?
  20. 20.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 1 : 1?
  21. 21.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?
  22. 22.A grocer mixes 8 kg of tea at ₹23 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹31 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹69 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 5 kg of tea at ₹66 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  30. 30.Rice at ₹66 per kg is mixed with rice at ₹81 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?
  31. 31.Rice at ₹78 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A jug has 10 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?
  35. 35.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.A grocer mixes 4 kg of tea at ₹62 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  38. 38.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  39. 39.Rice at ₹78 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.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 : 8?

Answer key

  1. 4
  2. 10
  3. 60
  4. 9
  5. 10
  6. 12
  7. 50
  8. 30
  9. 8
  10. 33
  11. 31
  12. 6
  13. 20
  14. 50
  15. 32
  16. 18
  17. 6
  18. 20
  19. 40
  20. 28
  21. 50
  22. 42
  23. 3
  24. 25
  25. 32
  26. 33
  27. 84
  28. 36
  29. 15
  30. 24
  31. 6
  32. 40
  33. 3
  34. 75
  35. 12
  36. 68
  37. 8
  38. 6
  39. 2
  40. 5

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