← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 724 · 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 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 3 kg of tea at ₹75 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 12 kg of tea at ₹39 per kg with 9 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 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?
  8. 8.A jug has 40 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?
  9. 9.A grocer mixes 11 kg of tea at ₹67 per kg with 11 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  12. 12.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  13. 13.A grocer mixes 4 kg of tea at ₹43 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.A grocer mixes 4 kg of tea at ₹37 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.A grocer mixes 11 kg of tea at ₹61 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 40-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  22. 22.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  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.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A 36-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?
  26. 26.A grocer mixes 12 kg of tea at ₹83 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 30-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?
  28. 28.A jug has 10 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?
  29. 29.Rice at ₹67 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.A jug has 20 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?
  31. 31.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?
  32. 32.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  33. 33.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?
  34. 34.Rice at ₹80 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹77 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹55 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.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?
  39. 39.A jug has 20 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?
  40. 40.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?

Answer key

  1. 3
  2. 6
  3. 10
  4. 60
  5. 67
  6. 72
  7. 55
  8. 60
  9. 90
  10. 10
  11. 36
  12. 12
  13. 48
  14. 50
  15. 10
  16. 35
  17. 38
  18. 20
  19. 3
  20. 89
  21. 16
  22. 20
  23. 75
  24. 8
  25. 9
  26. 64
  27. 6
  28. 50
  29. 15
  30. 40
  31. 60
  32. 4
  33. 50
  34. 5
  35. 21
  36. 85
  37. 6
  38. 64
  39. 52
  40. 6

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