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**Answer the question based on the information given below:**

Two traders, Chetan and Michael, were involved in the buying and selling of MCS shares over five trading days. At the beginning of the first day, the MCS share was prices at Rs $100$, while at the end of the fifth day it was priced at Rs $110$. At the end of each day, the MCS share price either went up by Rs $10$, or else, it came down by Rs $10$. Both Chetan and Michael took buying and selling decisions at the end of each trading day.

The beginning price of MCS share on a given day was the same as the ending price of the previous day.

Chetan and Michael started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts about how Chetan and Michael traded over the five trading days.

- Each day if the price went up, Chetan sold $10$ shares of MCS at the closing price. On the other hand, each day if the price went down, he bought $10$ shares at the closing price.
- If on any day, the closing price was above Rs $110$, then Michael sold $10$ shares of MCS, while if it was below Rs $90,$ he bought $10$ shares, all at the closing price.

If Michael ended up with $20$ more shares than Chetan at the end of day $5,$ what was the price of the share at the end of day $3?$

- Rs $90$
- Rs $100$
- Rs $110$
- Rs $120$
- Rs $130$