← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 679 · 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 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?
  2. 2.A grocer mixes 10 kg of tea at ₹32 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A grocer mixes 5 kg of tea at ₹61 per kg with 8 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹59 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  6. 6.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 6 kg of tea at ₹21 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  10. 10.A 48-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?
  11. 11.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?
  12. 12.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 3 : 4?
  13. 13.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?
  14. 14.Rice at ₹72 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.Rice at ₹66 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A grocer mixes 6 kg of tea at ₹29 per kg with 9 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  20. 20.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.Rice at ₹30 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 12 kg of tea at ₹94 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 11 kg of tea at ₹29 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 91-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?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.Rice at ₹21 per kg is mixed with rice at ₹61 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?
  29. 29.Rice at ₹43 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 16 kg of the dearer rice?
  30. 30.Rice at ₹48 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  31. 31.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  32. 32.A grocer mixes 4 kg of tea at ₹101 per kg with 10 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 9 kg of tea at ₹79 per kg with 5 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹23 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 6 kg of the dearer rice?
  35. 35.Rice at ₹59 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 12 kg of tea at ₹60 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 10-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?
  39. 39.A grocer mixes 3 kg of tea at ₹56 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹22 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 74
  3. 40
  4. 93
  5. 30
  6. 6
  7. 40
  8. 27
  9. 27
  10. 16
  11. 50
  12. 4
  13. 75
  14. 24
  15. 30
  16. 64
  17. 40
  18. 53
  19. 7
  20. 16
  21. 8
  22. 6
  23. 59
  24. 6
  25. 47
  26. 28
  27. 30
  28. 9
  29. 12
  30. 40
  31. 10
  32. 81
  33. 59
  34. 1
  35. 7
  36. 25
  37. 58
  38. 2
  39. 76
  40. 29

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