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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 140 · 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 ₹78 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 32 kg of the dearer rice?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  6. 6.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?
  7. 7.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?
  8. 8.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?
  9. 9.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹27 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 18 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 20% mango juice. 12 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 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.Rice at ₹26 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  16. 16.Rice at ₹28 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.Rice at ₹43 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  18. 18.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.A jug has 10 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?
  20. 20.A grocer mixes 10 kg of tea at ₹39 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹29 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.A grocer mixes 8 kg of tea at ₹45 per kg with 6 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 11 kg of tea at ₹97 per kg with 5 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A grocer mixes 10 kg of tea at ₹106 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 54-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?
  31. 31.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A 15-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?
  33. 33.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?
  34. 34.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  35. 35.Rice at ₹74 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 30 kg of the dearer rice?
  36. 36.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  37. 37.Rice at ₹77 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹76 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 10 kg of tea at ₹100 per kg with 5 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?

Answer key

  1. 8
  2. 35
  3. 50
  4. 80
  5. 6
  6. 60
  7. 8
  8. 60
  9. 12
  10. 75
  11. 3
  12. 50
  13. 80
  14. 12
  15. 42
  16. 1
  17. 3
  18. 36
  19. 50
  20. 45
  21. 40
  22. 15
  23. 54
  24. 95
  25. 92
  26. 50
  27. 70
  28. 70
  29. 50
  30. 18
  31. 3
  32. 3
  33. 50
  34. 36
  35. 18
  36. 2
  37. 18
  38. 84
  39. 104
  40. 8

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