← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 278 · 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 20 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  3. 3.A jug has 10 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?
  4. 4.A jug has 20 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.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  6. 6.Rice at ₹75 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.Rice at ₹53 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹86 per kg with 11 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹65 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹103 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  13. 13.A grocer mixes 12 kg of tea at ₹53 per kg with 2 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 6 kg of tea at ₹69 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  18. 18.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  20. 20.A jug has 20 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?
  21. 21.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  22. 22.A grocer mixes 4 kg of tea at ₹96 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹70 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 2 kg of the dearer rice?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹86 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 7 kg of tea at ₹46 per kg with 7 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 20 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?
  29. 29.Rice at ₹78 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.A grocer mixes 7 kg of tea at ₹20 per kg with 7 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 9 kg of tea at ₹91 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  33. 33.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?
  34. 34.A grocer mixes 8 kg of tea at ₹47 per kg with 8 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹61 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  37. 37.A jug has 40 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?
  38. 38.A 90-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?
  39. 39.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  40. 40.Rice at ₹66 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 40
  2. 6
  3. 70
  4. 60
  5. 10
  6. 3
  7. 10
  8. 64
  9. 24
  10. 83
  11. 10
  12. 27
  13. 60
  14. 77
  15. 40
  16. 20
  17. 5
  18. 30
  19. 7
  20. 70
  21. 36
  22. 54
  23. 1
  24. 21
  25. 34
  26. 70
  27. 51
  28. 52
  29. 3
  30. 70
  31. 85
  32. 7
  33. 25
  34. 36
  35. 68
  36. 14
  37. 20
  38. 40
  39. 40
  40. 3

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