Three persons, X, Y and Z started a partnership business investing money in the ratio of $5:4:2$ respectively for a period of $3$ years. What is the amount received by X as his share profit?
I. Total amount invested in the business in Rs. $22,000$.
II. Profit earned at the end of $3$ years is $\frac{3}{8}$ of the total investment.
III. The average amount of profit earned per year is Rs. $2750$.