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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 789 · 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 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?
  2. 2.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?
  3. 3.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  4. 4.Rice at ₹61 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹55 per kg with 7 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 : 4?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹21 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  11. 11.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  12. 12.A jug has 10 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?
  13. 13.A jug has 10 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?
  14. 14.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?
  15. 15.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  16. 16.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 11 kg of tea at ₹39 per kg with 11 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 11 kg of tea at ₹84 per kg with 11 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.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?
  22. 22.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.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?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  25. 25.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  27. 27.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  28. 28.A 20-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?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  30. 30.A jug has 20 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?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  32. 32.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  34. 34.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  35. 35.Rice at ₹46 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.Rice at ₹40 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.A 35-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?
  40. 40.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 40
  2. 25
  3. 20
  4. 25
  5. 20
  6. 69
  7. 24
  8. 25
  9. 2
  10. 8
  11. 8
  12. 60
  13. 68
  14. 40
  15. 24
  16. 35
  17. 40
  18. 77
  19. 90
  20. 70
  21. 50
  22. 50
  23. 20
  24. 5
  25. 2
  26. 4
  27. 9
  28. 6
  29. 7
  30. 60
  31. 8
  32. 8
  33. 40
  34. 40
  35. 7
  36. 1
  37. 75
  38. 80
  39. 7
  40. 8

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