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Answer the questions on the basis of the information given below:

Two traders, Harshit and Dhara, were involved in the buying and selling of $\text{MCS}$ shares over five trading days. At the beginning of the first day, the $\text{MCS}$ share was priced at Rs $100$, while at the end of the fifth day it was priced at Rs $110$. At the end of each day, the $\text{MCS}$ share price either went up by Rs $10$, or else, it came down by Rs $10$. Both Harshit and Dhara took buying and selling decisions at the end of each trading day. The beginning price of $\text{MCS}$ share on a given day was the same as the ending price of the previous day. Harshit and Dhara started with the same number of shares and amount of cash, and had enough of both. Below are some additional facts amount how Harshit and Dhara traded over the five trading days.

Each day if the price went up, Harshit sold $10$ shares of $\text{MCS}$ at the closing price. On the other hand, each day if the price went down, he brought $10$ shares at the closing price. If on any day, the closing price was above Rs $110$, then Dhara sold $10$ shares of $\text{MCS}$, while if it was below Rs $90$, he bought $10$ shares, all at the closing price.

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

  1. Rs $90$
  2. Rs $100$
  3. Rs $110$
  4. Rs $120$
  5. Rs $130$
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