← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 112 · 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 30-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?
  2. 2.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  5. 5.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 1 : 1?
  6. 6.A jug has 20 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?
  7. 7.Rice at ₹47 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  9. 9.Rice at ₹80 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A jug has 40 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?
  12. 12.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?
  13. 13.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?
  14. 14.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  15. 15.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.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 1 : 3?
  17. 17.Rice at ₹67 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹116 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  20. 20.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.A grocer mixes 8 kg of tea at ₹65 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 6 kg of tea at ₹68 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹72 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.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?
  29. 29.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  30. 30.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?
  31. 31.A jug has 10 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?
  32. 32.Rice at ₹23 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  33. 33.Rice at ₹65 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹99 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 9 kg of tea at ₹105 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹31 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.A grocer mixes 6 kg of tea at ₹22 per kg with 4 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 6 kg of tea at ₹25 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹120 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 10 kg of tea at ₹21 per kg with 7 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 18
  3. 35
  4. 8
  5. 7
  6. 55
  7. 3
  8. 24
  9. 4
  10. 50
  11. 52
  12. 36
  13. 50
  14. 10
  15. 20
  16. 14
  17. 28
  18. 111
  19. 9
  20. 18
  21. 61
  22. 25
  23. 54
  24. 25
  25. 24
  26. 28
  27. 36
  28. 40
  29. 6
  30. 70
  31. 80
  32. 35
  33. 15
  34. 53
  35. 75
  36. 2
  37. 46
  38. 35
  39. 100
  40. 49

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