← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 333 · 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 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  2. 2.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  3. 3.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 2 kg of tea at ₹112 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹101 per kg with 5 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 1 : 1?
  7. 7.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹59 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A grocer mixes 8 kg of tea at ₹82 per kg with 9 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.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?
  12. 12.A grocer mixes 3 kg of tea at ₹97 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹98 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  17. 17.A grocer mixes 10 kg of tea at ₹120 per kg with 5 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 4 kg of tea at ₹89 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 3 kg of tea at ₹46 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  23. 23.A grocer mixes 9 kg of tea at ₹102 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹25 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.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?
  27. 27.A grocer mixes 4 kg of tea at ₹93 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 40 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?
  29. 29.A grocer mixes 6 kg of tea at ₹25 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹40 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.Rice at ₹55 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  34. 34.Rice at ₹37 per kg is mixed with rice at ₹58 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?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.A jug has 10 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?
  37. 37.A grocer mixes 6 kg of tea at ₹31 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹45 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.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 : 5?
  40. 40.Rice at ₹53 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 15
  2. 30
  3. 25
  4. 78
  5. 46
  6. 24
  7. 9
  8. 10
  9. 64
  10. 60
  11. 75
  12. 62
  13. 28
  14. 35
  15. 71
  16. 12
  17. 109
  18. 7
  19. 50
  20. 55
  21. 58
  22. 24
  23. 72
  24. 60
  25. 36
  26. 28
  27. 95
  28. 40
  29. 44
  30. 32
  31. 4
  32. 10
  33. 8
  34. 1
  35. 35
  36. 40
  37. 27
  38. 10
  39. 6
  40. 2

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