Merchant and his Gold Coin

Puzzle # 1
There is a Gold Shop and merchant has promised to give a Gold coin to any of his worker. But, merchant is so clever that he will give away the coin only if the worker fulfill his conditions 

1. Worker has to work in the shop for seven consecutive days.
2. On every day merchant has promised to give his share equally.
3. Merchant has decided to cut the Gold coin only twice in seven day(s)

Solution

Cut the Gold Coin in to three parts

First part has 4/7 of total Gold Coin

Second part has 2/7 of total Gold Coin

Third part  has 1/7 of total Gold Coin

First Day:

Merchant has to give 1/7 part of the Gold coin to servant

Second Day:

Merchant has to give 2/7 part of the Gold coin to servant and take back the 1/7 part of the Gold coin from servant

Third Day:

Merchant has to give 1/7 part of the Gold coin to servant, Now Servant has 1/7 & 2/7 part of coins with him.

Fourth Day:

Merchant has to give 4/7 part of the Gold coin to servant and take back the 1/7  and 2/7 part of the Gold coin from servant

Fifth Day:

Merchant has to give 1/7 part of the Gold coin to servant, Now Servant has 1/7 & 4/7 part of coins with him.

Sixth Day:

Merchant has to give 2/7 part of the Gold coin to servant and take back the 1/7 part of the Gold coin from servant. Now Servant has 2/7 & 4/7 part of coins with him.

Seventh Day:

Merchant has to give 1/7 part of the Gold coin to servant. Now Servant has 1/7, 2/7 & 4/7 part of coins with him.

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