← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 704 · 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 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  2. 2.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 1 : 1?
  3. 3.A grocer mixes 6 kg of tea at ₹30 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹64 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A grocer mixes 8 kg of tea at ₹48 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹41 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 52-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?
  9. 9.A grocer mixes 3 kg of tea at ₹81 per kg with 3 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹64 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A grocer mixes 6 kg of tea at ₹61 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹43 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  16. 16.A jug has 10 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?
  17. 17.A grocer mixes 10 kg of tea at ₹99 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  19. 19.A grocer mixes 4 kg of tea at ₹112 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 108-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?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  23. 23.Rice at ₹58 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.A grocer mixes 12 kg of tea at ₹90 per kg with 12 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 4 kg of tea at ₹38 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹23 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  28. 28.A 72-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?
  29. 29.A grocer mixes 3 kg of tea at ₹64 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹22 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹36 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 11 kg of tea at ₹51 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A grocer mixes 10 kg of tea at ₹116 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 14-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?
  37. 37.Rice at ₹28 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.A grocer mixes 7 kg of tea at ₹39 per kg with 7 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?

Answer key

  1. 20
  2. 20
  3. 38
  4. 3
  5. 2
  6. 60
  7. 33
  8. 16
  9. 67
  10. 5
  11. 48
  12. 40
  13. 12
  14. 64
  15. 6
  16. 70
  17. 93
  18. 6
  19. 106
  20. 27
  21. 50
  22. 20
  23. 3
  24. 81
  25. 53
  26. 6
  27. 8
  28. 36
  29. 34
  30. 64
  31. 15
  32. 34
  33. 80
  34. 6
  35. 105
  36. 2
  37. 35
  38. 69
  39. 80
  40. 32

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