← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 6 · 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 ₹52 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹20 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  5. 5.A grocer mixes 3 kg of tea at ₹70 per kg with 12 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  8. 8.A grocer mixes 3 kg of tea at ₹50 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  10. 10.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  11. 11.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹51 per kg with 9 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  14. 14.A grocer mixes 4 kg of tea at ₹109 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 8 kg of tea at ₹109 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹26 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 30-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?
  20. 20.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?
  21. 21.A grocer mixes 5 kg of tea at ₹103 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  23. 23.A 54-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?
  24. 24.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  25. 25.A grocer mixes 4 kg of tea at ₹29 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 8 kg of tea at ₹30 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.Rice at ₹76 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 7 kg of tea at ₹21 per kg with 7 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹40 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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 1 : 1?
  32. 32.Rice at ₹43 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.A grocer mixes 8 kg of tea at ₹97 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 2 kg of tea at ₹91 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  36. 36.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?
  37. 37.A grocer mixes 9 kg of tea at ₹61 per kg with 9 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 1 : 1?
  39. 39.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 24
  2. 27
  3. 25
  4. 16
  5. 98
  6. 18
  7. 6
  8. 90
  9. 9
  10. 18
  11. 20
  12. 87
  13. 12
  14. 49
  15. 86
  16. 75
  17. 20
  18. 28
  19. 6
  20. 50
  21. 71
  22. 7
  23. 24
  24. 3
  25. 74
  26. 27
  27. 2
  28. 4
  29. 64
  30. 48
  31. 24
  32. 5
  33. 83
  34. 73
  35. 21
  36. 52
  37. 89
  38. 5
  39. 6
  40. 5

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