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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 791 · 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 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  5. 5.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?
  6. 6.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?
  7. 7.A 35-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?
  8. 8.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 11 kg of tea at ₹63 per kg with 11 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹68 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹24 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.Rice at ₹54 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.Rice at ₹56 per kg is mixed with rice at ₹72 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?
  15. 15.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  16. 16.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?
  17. 17.Rice at ₹42 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  18. 18.A jug has 20 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?
  19. 19.A 18-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?
  20. 20.A grocer mixes 2 kg of tea at ₹64 per kg with 9 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 7 kg of tea at ₹63 per kg with 12 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 9 kg of tea at ₹75 per kg with 9 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A 55-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?
  27. 27.A grocer mixes 2 kg of tea at ₹99 per kg with 4 kg of tea at ₹78 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. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.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 : 3?
  31. 31.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 6 kg of tea at ₹99 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 7 kg of tea at ₹52 per kg with 7 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹23 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 6 kg of tea at ₹22 per kg with 7 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 3
  3. 15
  4. 16
  5. 52
  6. 75
  7. 14
  8. 24
  9. 40
  10. 62
  11. 30
  12. 2
  13. 5
  14. 15
  15. 10
  16. 28
  17. 6
  18. 40
  19. 2
  20. 73
  21. 9
  22. 60
  23. 75
  24. 49
  25. 9
  26. 5
  27. 85
  28. 50
  29. 16
  30. 7
  31. 50
  32. 108
  33. 42
  34. 68
  35. 9
  36. 32
  37. 60
  38. 2
  39. 50
  40. 57

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