← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 912 · 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 ₹85 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  4. 4.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  5. 5.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  6. 6.A grocer mixes 7 kg of tea at ₹100 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  8. 8.Rice at ₹67 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.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?
  10. 10.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 4 kg of tea at ₹66 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹38 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹82 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹21 per kg with 10 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.A grocer mixes 2 kg of tea at ₹47 per kg with 8 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 9 kg of tea at ₹120 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 8 kg of tea at ₹120 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  22. 22.A grocer mixes 10 kg of tea at ₹34 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  24. 24.A grocer mixes 3 kg of tea at ₹24 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.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 3 : 4?
  27. 27.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.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 3 : 4?
  29. 29.Rice at ₹58 per kg is mixed with rice at ₹146 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹76 per kg with 10 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹80 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 6 kg of tea at ₹100 per kg with 12 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹32 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 7 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹48 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 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?
  38. 38.A jug has 10 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?
  39. 39.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 : 6?
  40. 40.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?

Answer key

  1. 92
  2. 75
  3. 30
  4. 21
  5. 14
  6. 103
  7. 4
  8. 5
  9. 25
  10. 50
  11. 55
  12. 39
  13. 5
  14. 58
  15. 64
  16. 24
  17. 2
  18. 87
  19. 78
  20. 111
  21. 18
  22. 45
  23. 15
  24. 84
  25. 12
  26. 6
  27. 6
  28. 10
  29. 10
  30. 16
  31. 15
  32. 66
  33. 86
  34. 98
  35. 35
  36. 57
  37. 50
  38. 40
  39. 18
  40. 6

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