← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 636 · 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 3 kg of tea at ₹27 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹46 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 63-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?
  5. 5.A 18-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?
  6. 6.A grocer mixes 2 kg of tea at ₹61 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹94 per kg with 12 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹23 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹73 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  12. 12.A jug has 10 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?
  13. 13.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?
  14. 14.A jug has 25 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?
  15. 15.A grocer mixes 6 kg of tea at ₹53 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  17. 17.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹79 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  21. 21.Rice at ₹27 per kg is mixed with rice at ₹76 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?
  22. 22.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?
  23. 23.A grocer mixes 4 kg of tea at ₹93 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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 2 : 9?
  25. 25.Rice at ₹43 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹95 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹26 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A grocer mixes 12 kg of tea at ₹102 per kg with 12 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹75 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 8 kg of the dearer rice?
  30. 30.A grocer mixes 7 kg of tea at ₹77 per kg with 5 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹50 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹36 per kg is mixed with rice at ₹43 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?
  33. 33.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?
  34. 34.Rice at ₹45 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹43 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 40 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?
  37. 37.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.A grocer mixes 2 kg of tea at ₹36 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹47 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹74 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 71
  2. 32
  3. 43
  4. 36
  5. 4
  6. 53
  7. 102
  8. 32
  9. 49
  10. 12
  11. 10
  12. 55
  13. 25
  14. 50
  15. 59
  16. 9
  17. 36
  18. 20
  19. 60
  20. 12
  21. 24
  22. 40
  23. 48
  24. 16
  25. 24
  26. 98
  27. 8
  28. 106
  29. 24
  30. 82
  31. 86
  32. 6
  33. 75
  34. 12
  35. 35
  36. 40
  37. 18
  38. 76
  39. 83
  40. 8

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