← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 310 · 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 jug has 20 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?
  2. 2.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?
  3. 3.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.Rice at ₹35 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  7. 7.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  8. 8.A grocer mixes 6 kg of tea at ₹116 per kg with 8 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 4 kg of tea at ₹43 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 110-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?
  11. 11.A grocer mixes 9 kg of tea at ₹101 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 35-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?
  13. 13.Rice at ₹64 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  15. 15.A 56-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?
  16. 16.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹23 per kg is mixed with rice at ₹58 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?
  19. 19.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  23. 23.A jug has 20 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?
  24. 24.A jug has 40 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?
  25. 25.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹22 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A jug has 20 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?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 8 kg of tea at ₹98 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹43 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.A 9-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?
  33. 33.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  34. 34.Rice at ₹41 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  35. 35.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A jug has 50 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?
  39. 39.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 40
  2. 76
  3. 30
  4. 6
  5. 50
  6. 6
  7. 20
  8. 88
  9. 52
  10. 40
  11. 105
  12. 10
  13. 2
  14. 6
  15. 24
  16. 6
  17. 80
  18. 6
  19. 5
  20. 25
  21. 40
  22. 12
  23. 28
  24. 60
  25. 1
  26. 6
  27. 70
  28. 30
  29. 50
  30. 87
  31. 5
  32. 9
  33. 10
  34. 8
  35. 2
  36. 15
  37. 3
  38. 50
  39. 50
  40. 10

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