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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 733 · 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 10-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?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.A 18-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?
  5. 5.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  8. 8.Rice at ₹79 per kg is mixed with rice at ₹167 per kg to make a mix worth ₹119 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  12. 12.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.A 56-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?
  14. 14.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  15. 15.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.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 5 : 6?
  17. 17.Rice at ₹40 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.Rice at ₹39 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹31 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.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?
  21. 21.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?
  22. 22.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?
  23. 23.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 : 9?
  24. 24.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?
  25. 25.Rice at ₹33 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  27. 27.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.A jug has 10 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 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?
  31. 31.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  32. 32.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?
  33. 33.A grocer mixes 3 kg of tea at ₹45 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 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?
  35. 35.A grocer mixes 8 kg of tea at ₹37 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  37. 37.Rice at ₹33 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹103 per kg with 9 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 25-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?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 4
  2. 2
  3. 12
  4. 8
  5. 12
  6. 5
  7. 16
  8. 36
  9. 76
  10. 50
  11. 12
  12. 14
  13. 21
  14. 30
  15. 40
  16. 32
  17. 9
  18. 30
  19. 16
  20. 70
  21. 50
  22. 50
  23. 6
  24. 75
  25. 9
  26. 9
  27. 30
  28. 5
  29. 70
  30. 80
  31. 15
  32. 60
  33. 49
  34. 40
  35. 38
  36. 8
  37. 4
  38. 43
  39. 10
  40. 12

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