← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 323 · 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 ₹63 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.Rice at ₹78 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹23 per kg with 8 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 8 kg of tea at ₹68 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹82 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 8 kg of tea at ₹115 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 24-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?
  9. 9.A grocer mixes 10 kg of tea at ₹73 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹40 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.Rice at ₹65 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.A grocer mixes 7 kg of tea at ₹53 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.A jug has 25 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?
  15. 15.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  16. 16.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  17. 17.A grocer mixes 2 kg of tea at ₹68 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 33-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?
  19. 19.Rice at ₹68 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 6 kg of tea at ₹42 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹25 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 11 kg of tea at ₹29 per kg with 11 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 108-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  25. 25.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  29. 29.A jug has 40 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?
  30. 30.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹31 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  34. 34.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 11 kg of tea at ₹82 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  38. 38.A grocer mixes 3 kg of tea at ₹31 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 60-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?
  40. 40.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?

Answer key

  1. 7
  2. 28
  3. 87
  4. 53
  5. 100
  6. 74
  7. 80
  8. 4
  9. 91
  10. 16
  11. 35
  12. 69
  13. 5
  14. 50
  15. 8
  16. 7
  17. 44
  18. 12
  19. 5
  20. 76
  21. 62
  22. 8
  23. 39
  24. 36
  25. 9
  26. 75
  27. 12
  28. 16
  29. 52
  30. 50
  31. 20
  32. 37
  33. 5
  34. 16
  35. 70
  36. 73
  37. 16
  38. 27
  39. 5
  40. 36

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