← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 777 · 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 grocer mixes 4 kg of tea at ₹29 per kg with 7 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.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?
  5. 5.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?
  6. 6.A grocer mixes 2 kg of tea at ₹83 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹47 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 2 kg of tea at ₹118 per kg with 6 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  13. 13.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?
  14. 14.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 7 kg of tea at ₹76 per kg with 8 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.Rice at ₹49 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹74 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 6 kg of tea at ₹101 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹32 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 5 kg of tea at ₹73 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 8 kg of tea at ₹67 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 63-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?
  25. 25.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  27. 27.Rice at ₹27 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.Rice at ₹66 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 7 kg of tea at ₹71 per kg with 11 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 3 kg of tea at ₹74 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  36. 36.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?
  37. 37.Rice at ₹24 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  39. 39.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.A grocer mixes 12 kg of tea at ₹107 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 43
  2. 30
  3. 24
  4. 60
  5. 28
  6. 70
  7. 6
  8. 50
  9. 64
  10. 36
  11. 60
  12. 12
  13. 50
  14. 50
  15. 68
  16. 6
  17. 5
  18. 61
  19. 89
  20. 28
  21. 60
  22. 71
  23. 61
  24. 7
  25. 12
  26. 28
  27. 15
  28. 12
  29. 70
  30. 82
  31. 60
  32. 75
  33. 40
  34. 54
  35. 6
  36. 55
  37. 12
  38. 12
  39. 3
  40. 104

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