← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 570 · 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 99-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?
  2. 2.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?
  3. 3.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?
  4. 4.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹42 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  7. 7.A 80-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?
  8. 8.Rice at ₹74 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 6 kg of tea at ₹36 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A grocer mixes 12 kg of tea at ₹76 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  13. 13.Rice at ₹69 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹115 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹58 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹76 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹23 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 6 kg of tea at ₹37 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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 : 8?
  25. 25.A 26-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 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?
  27. 27.A grocer mixes 2 kg of tea at ₹68 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 12 kg of tea at ₹23 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹58 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A grocer mixes 8 kg of tea at ₹49 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹30 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.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 6 : 11?
  34. 34.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 12 kg of tea at ₹42 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹65 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  37. 37.A 90-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  38. 38.A jug has 10 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?
  39. 39.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?

Answer key

  1. 27
  2. 28
  3. 75
  4. 75
  5. 35
  6. 14
  7. 10
  8. 5
  9. 78
  10. 5
  11. 81
  12. 4
  13. 24
  14. 96
  15. 2
  16. 60
  17. 14
  18. 56
  19. 33
  20. 70
  21. 60
  22. 12
  23. 72
  24. 16
  25. 4
  26. 40
  27. 44
  28. 29
  29. 14
  30. 48
  31. 35
  32. 25
  33. 16
  34. 50
  35. 64
  36. 12
  37. 18
  38. 68
  39. 15
  40. 6

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