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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 662 · 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 jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹39 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹79 per kg is mixed with rice at ₹82 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?
  6. 6.A grocer mixes 4 kg of tea at ₹114 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹22 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 : 7?
  14. 14.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  16. 16.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.A grocer mixes 4 kg of tea at ₹66 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 36-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 72-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?
  20. 20.A grocer mixes 11 kg of tea at ₹99 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 1 : 1?
  22. 22.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  23. 23.Rice at ₹29 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  24. 24.A grocer mixes 10 kg of tea at ₹97 per kg with 5 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹20 per kg is mixed with rice at ₹48 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?
  26. 26.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 18 kg of the dearer rice?
  27. 27.A 120-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?
  28. 28.A 10-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?
  29. 29.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.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?
  32. 32.A grocer mixes 3 kg of tea at ₹56 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹111 per kg with 12 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.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 : 5?

Answer key

  1. 60
  2. 40
  3. 10
  4. 30
  5. 12
  6. 97
  7. 50
  8. 60
  9. 2
  10. 24
  11. 8
  12. 42
  13. 6
  14. 64
  15. 32
  16. 4
  17. 71
  18. 8
  19. 6
  20. 90
  21. 4
  22. 18
  23. 15
  24. 93
  25. 8
  26. 12
  27. 10
  28. 4
  29. 50
  30. 75
  31. 28
  32. 40
  33. 87
  34. 8
  35. 8
  36. 5
  37. 16
  38. 1
  39. 50
  40. 21

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