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The rate of interest on a sum of money is $4\%$ per annum for the first $2$ years, $6\%$ per annum for the next $4$ years and $8\%$ per annum for the period beyond $6$ years. If the simple interest accrued by the sum for a total period of $9$ years is $\text₹1,120$, what is the sum?

- $\text₹1,500$
- $\text₹2,000$
- $\text₹2,500$
- $\text₹4,000$

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