← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 919 · 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 8 kg of tea at ₹45 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.A grocer mixes 6 kg of tea at ₹52 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹77 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.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?
  6. 6.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 3 kg of tea at ₹37 per kg with 10 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.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?
  13. 13.Rice at ₹36 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹90 per kg with 11 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A 42-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?
  17. 17.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  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.A 36-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?
  20. 20.A grocer mixes 6 kg of tea at ₹25 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 7 kg of tea at ₹59 per kg with 7 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.Rice at ₹80 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹32 per kg with 9 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹21 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 7 kg of tea at ₹47 per kg with 7 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹27 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹110 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  32. 32.A grocer mixes 2 kg of tea at ₹67 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹64 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹36 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A grocer mixes 3 kg of tea at ₹23 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 42-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?
  40. 40.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?

Answer key

  1. 62
  2. 50
  3. 47
  4. 3
  5. 18
  6. 25
  7. 87
  8. 2
  9. 10
  10. 4
  11. 10
  12. 36
  13. 4
  14. 79
  15. 9
  16. 6
  17. 35
  18. 20
  19. 12
  20. 43
  21. 71
  22. 60
  23. 5
  24. 5
  25. 3
  26. 77
  27. 37
  28. 50
  29. 10
  30. 38
  31. 4
  32. 62
  33. 24
  34. 50
  35. 10
  36. 4
  37. 6
  38. 50
  39. 7
  40. 70

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