← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 52 · 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 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  3. 3.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 63-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?
  5. 5.Rice at ₹67 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  6. 6.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?
  7. 7.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?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹61 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  12. 12.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  13. 13.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 5 kg of tea at ₹38 per kg with 5 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  16. 16.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?
  17. 17.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  18. 18.A 66-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  19. 19.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  20. 20.A 40-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?
  21. 21.A grocer mixes 7 kg of tea at ₹71 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.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?
  24. 24.A 56-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?
  25. 25.A 55-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?
  26. 26.A grocer mixes 2 kg of tea at ₹45 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹111 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 9 kg of tea at ₹76 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A grocer mixes 4 kg of tea at ₹60 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.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?
  33. 33.A grocer mixes 10 kg of tea at ₹116 per kg with 7 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 3 kg of tea at ₹31 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.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?
  37. 37.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  38. 38.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?
  39. 39.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  40. 40.A jug has 25 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?

Answer key

  1. 50
  2. 12
  3. 75
  4. 9
  5. 16
  6. 36
  7. 20
  8. 3
  9. 89
  10. 50
  11. 12
  12. 18
  13. 64
  14. 34
  15. 10
  16. 50
  17. 12
  18. 24
  19. 24
  20. 8
  21. 65
  22. 4
  23. 75
  24. 14
  25. 5
  26. 51
  27. 109
  28. 70
  29. 25
  30. 52
  31. 70
  32. 60
  33. 88
  34. 27
  35. 52
  36. 60
  37. 9
  38. 36
  39. 10
  40. 50

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