← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 959 · 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 ₹61 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  2. 2.A 20-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?
  3. 3.A grocer mixes 3 kg of tea at ₹46 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹118 per kg with 7 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.Rice at ₹22 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 6 kg of the dearer rice?
  8. 8.A grocer mixes 10 kg of tea at ₹49 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 2 kg of tea at ₹84 per kg with 8 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹20 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.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 7 : 8?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹101 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?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.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?
  18. 18.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?
  19. 19.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A grocer mixes 12 kg of tea at ₹114 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 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?
  22. 22.Rice at ₹23 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  23. 23.A grocer mixes 12 kg of tea at ₹35 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 50 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?
  25. 25.Rice at ₹25 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.Rice at ₹30 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A 60-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?
  29. 29.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  30. 30.A grocer mixes 9 kg of tea at ₹64 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  34. 34.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?
  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.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹39 per kg with 10 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 11 kg of tea at ₹63 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 4
  3. 35
  4. 10
  5. 62
  6. 3
  7. 5
  8. 67
  9. 96
  10. 2
  11. 25
  12. 6
  13. 36
  14. 10
  15. 15
  16. 36
  17. 60
  18. 25
  19. 27
  20. 108
  21. 80
  22. 21
  23. 28
  24. 25
  25. 3
  26. 6
  27. 5
  28. 6
  29. 10
  30. 80
  31. 4
  32. 12
  33. 9
  34. 64
  35. 68
  36. 8
  37. 25
  38. 20
  39. 24
  40. 75

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