← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 188 · 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 ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.Rice at ₹39 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹61 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹39 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 6 kg of tea at ₹73 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A grocer mixes 7 kg of tea at ₹58 per kg with 7 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹27 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A 18-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?
  15. 15.Rice at ₹43 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.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?
  19. 19.Rice at ₹44 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹54 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  21. 21.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.A 70-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?
  23. 23.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A grocer mixes 8 kg of tea at ₹84 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A grocer mixes 12 kg of tea at ₹89 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹31 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 9 kg of tea at ₹82 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹80 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹82 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 15-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?
  32. 32.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?
  33. 33.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A jug has 10 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?
  36. 36.Rice at ₹38 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.A grocer mixes 9 kg of tea at ₹69 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹42 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 6
  2. 5
  3. 8
  4. 50
  5. 20
  6. 69
  7. 85
  8. 36
  9. 60
  10. 8
  11. 14
  12. 32
  13. 36
  14. 6
  15. 20
  16. 25
  17. 20
  18. 50
  19. 20
  20. 40
  21. 5
  22. 10
  23. 15
  24. 88
  25. 12
  26. 62
  27. 5
  28. 62
  29. 8
  30. 55
  31. 3
  32. 60
  33. 6
  34. 1
  35. 75
  36. 25
  37. 4
  38. 21
  39. 84
  40. 24

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