How much time will it take for an amount of $900$ to yield $81$ as interest at $4.5\%$ per annum of simple interest?

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**Solution:**

1. Given:
   - Principal, $P = 900$
   - Rate of interest, $R = 4.5\%$ per annum
   - Interest, $SI = 81$
   - Time = $t$ (in years)

2. Formula for simple interest:
   $$SI = \frac{P 	imes R 	imes t}{100}$$

3. Substitute the values:
   $$81 = \frac{900 	imes 4.5 	imes t}{100}$$

4. Simplify to find $t$:
   $$t = \frac{81 	imes 100}{900 	imes 4.5} = \frac{8100}{4050} = 2 	ext{ years}$$

**Answer:** 2 years

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