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A jar was full with honey. A person used to draw out 20% of the honey from the jar and replaced it with sugar solution. He has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar, the rest part of the jar was filled with the sugar solution. The initial amount of honey in the jar was filled with the sugar solution. The initial amount of honey in the jar was:

Correct Answer: 1.25 kg

Explanation:

  • Let the initial quantity of honey in the jar be x grams.
  • In each operation, 20% of honey is removed and replaced with sugar solution.
  • This means 80% of honey remains after each operation.
  • The operation is repeated 4 times.
  • So, remaining honey after 4 operations = x × (0.8)4

It is given that the final quantity of honey left is 512 grams:

x × (0.8)4 = 512
x × 0.4096 = 512
x = 512 / 0.4096
x = 1250

Initial amount of honey in the jar = 1250 grams

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