← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 325 · 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 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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 : 3?
  3. 3.A grocer mixes 8 kg of tea at ₹78 per kg with 9 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹20 per kg is mixed with rice at ₹23 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  6. 6.A jug has 20 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?
  7. 7.A grocer mixes 4 kg of tea at ₹61 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A grocer mixes 11 kg of tea at ₹74 per kg with 5 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 30-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?
  11. 11.A 36-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 ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.A grocer mixes 7 kg of tea at ₹64 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹71 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹59 per kg is mixed with rice at ₹74 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?
  16. 16.A grocer mixes 8 kg of tea at ₹25 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 10 kg of tea at ₹114 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  19. 19.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  20. 20.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?
  21. 21.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?
  22. 22.A jug has 50 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?
  23. 23.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.Rice at ₹56 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.Rice at ₹26 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  27. 27.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?
  28. 28.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.Rice at ₹36 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹72 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹25 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 8 kg of tea at ₹103 per kg with 8 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 48-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?
  35. 35.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  36. 36.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  39. 39.A jug has 10 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?
  40. 40.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?

Answer key

  1. 80
  2. 4
  3. 51
  4. 3
  5. 9
  6. 70
  7. 66
  8. 60
  9. 79
  10. 6
  11. 8
  12. 8
  13. 70
  14. 36
  15. 3
  16. 44
  17. 99
  18. 16
  19. 20
  20. 50
  21. 21
  22. 25
  23. 10
  24. 6
  25. 21
  26. 28
  27. 20
  28. 2
  29. 2
  30. 70
  31. 8
  32. 48
  33. 76
  34. 12
  35. 4
  36. 4
  37. 16
  38. 32
  39. 70
  40. 75

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude