In a certain community, property is assessed at 60% of its appraised value and taxed annually at the rate of Tk. 4.00 per Tk. 100 of assessed value. If a taxpayer is assessed Tk. 240 per quarter in property taxes, what is the appraised value of the property?

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TK.40,000 - To determine the appraised value of the property, we need to follow these steps:1. **Determine the total annual property tax:**  The taxpayer is assessed $240 per quarter. There are 4 quarters in a year, so the total annual property tax is:  $$  240 \text{ (per quarter)} \times 4 \text{ (quarters)} = 960 \text{ (annual property tax)}  $$2. **Calculate the assessed value of the property:**  The tax rate is $4.00 per $100 of assessed value. Therefore, to find the assessed value that corresponds to an annual tax of $960:  $$  \text{Tax rate} = \frac{4}{100} = 0.04 \text{ (per dollar of assessed value)}  $$  Let $ A $ be the assessed value. We can write:  $$  0.04 \times A = 960  $$  Solving for $ A $:  $$  A = \frac{960}{0.04} = 24,000  $$3. **Determine the appraised value:**  The assessed value is 60% of the appraised value. Let $ P $ be the appraised value. Therefore:  $$  \text{Assessed value} = 0.60 \times P  $$  We already found the assessed value to be $24,000. So:  $$  24,000 = 0.60 \times P  $$  Solving for $ P $:  $$  P = \frac{24,000}{0.60} = 40,000  $$Thus, the appraised value of the property is $ \boxed{40,000} $.

In a certain community, property is assessed at 60% of its appraised value and taxed annually at the rate of Tk. 4.00 per Tk. 100 of assessed value. If a taxpayer is assessed Tk. 240 per quarter in property taxes, what is the appraised value of the property?

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