← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 584 · 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 7 kg of tea at ₹54 per kg with 7 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  5. 5.A grocer mixes 9 kg of tea at ₹87 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 7 kg of tea at ₹45 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 : 3?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.A 12-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?
  11. 11.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.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?
  13. 13.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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?
  15. 15.A grocer mixes 2 kg of tea at ₹38 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 28-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.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  18. 18.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.A grocer mixes 5 kg of tea at ₹91 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹110 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹53 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹24 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹27 per kg is mixed with rice at ₹35 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?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.A jug has 20 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?
  33. 33.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.A 72-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  35. 35.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 : 6?
  36. 36.A grocer mixes 7 kg of tea at ₹24 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹34 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.A grocer mixes 2 kg of tea at ₹30 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 9 kg of tea at ₹72 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 86
  2. 12
  3. 36
  4. 5
  5. 71
  6. 46
  7. 6
  8. 7
  9. 16
  10. 3
  11. 16
  12. 50
  13. 25
  14. 32
  15. 34
  16. 4
  17. 9
  18. 4
  19. 1
  20. 6
  21. 59
  22. 80
  23. 30
  24. 10
  25. 6
  26. 37
  27. 25
  28. 50
  29. 15
  30. 28
  31. 5
  32. 28
  33. 2
  34. 8
  35. 28
  36. 28
  37. 30
  38. 82
  39. 61
  40. 28

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