← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 217 · 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.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.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?
  3. 3.Rice at ₹69 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.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?
  8. 8.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 12 kg of tea at ₹20 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 4 kg of tea at ₹72 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 6 kg of tea at ₹33 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  15. 15.A grocer mixes 5 kg of tea at ₹118 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹50 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.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?
  18. 18.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?
  19. 19.A grocer mixes 10 kg of tea at ₹93 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.Rice at ₹38 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 10 kg of tea at ₹103 per kg with 8 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 4 kg of tea at ₹69 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹51 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹113 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.Rice at ₹44 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.Rice at ₹34 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.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 : 4?
  31. 31.A 48-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?
  32. 32.A jug has 10 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?
  33. 33.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.A grocer mixes 7 kg of tea at ₹83 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 5 kg of tea at ₹65 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A grocer mixes 5 kg of tea at ₹99 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?

Answer key

  1. 5
  2. 60
  3. 20
  4. 61
  5. 64
  6. 80
  7. 60
  8. 18
  9. 60
  10. 30
  11. 58
  12. 50
  13. 69
  14. 9
  15. 106
  16. 10
  17. 60
  18. 12
  19. 57
  20. 4
  21. 25
  22. 7
  23. 83
  24. 54
  25. 8
  26. 73
  27. 5
  28. 15
  29. 15
  30. 18
  31. 12
  32. 80
  33. 12
  34. 75
  35. 50
  36. 97
  37. 12
  38. 10
  39. 71
  40. 24

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