← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 683 · 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 ₹25 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 12 kg of tea at ₹115 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹39 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹64 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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 2 : 5?
  9. 9.A grocer mixes 7 kg of tea at ₹38 per kg with 11 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  11. 11.Rice at ₹50 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A grocer mixes 9 kg of tea at ₹105 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹76 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  15. 15.A 104-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?
  16. 16.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?
  17. 17.A grocer mixes 2 kg of tea at ₹90 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹71 per kg with 8 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 24-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?
  21. 21.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹48 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹52 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹38 per kg with 12 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 8 kg of tea at ₹110 per kg with 8 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹74 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  28. 28.A grocer mixes 3 kg of tea at ₹79 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹116 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A grocer mixes 6 kg of tea at ₹63 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 49-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?
  35. 35.Rice at ₹79 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.Rice at ₹60 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  38. 38.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.Rice at ₹42 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 32
  2. 97
  3. 55
  4. 1
  5. 12
  6. 50
  7. 5
  8. 6
  9. 71
  10. 6
  11. 3
  12. 77
  13. 10
  14. 28
  15. 32
  16. 36
  17. 99
  18. 7
  19. 77
  20. 8
  21. 50
  22. 1
  23. 58
  24. 80
  25. 82
  26. 66
  27. 6
  28. 95
  29. 42
  30. 86
  31. 64
  32. 30
  33. 57
  34. 14
  35. 18
  36. 18
  37. 30
  38. 1
  39. 6
  40. 40

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