Three friends $X, Y$ 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 the share in the total profit? I. Total amount invested in the business is Rs. $22,000$. II. Profit was distributed after a period of $2$ years. III. The average amount of profit earned per year is Rs. $ 2,750$.
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