The value of a property depreciates every year by 10% of its value at the beginning of the year. The present value of the property is Rs. 8100. What was its value 2 years ago ?

A. Rs. 10000

B. Rs. $${\left( {\frac{{90}}{{11}}} \right)^2} \times 100$$

C. Rs. $${\left( {\frac{{100}}{{101}}} \right)^2} \times 8100$$

D. Rs. 9801

Answer: Option A

Solution(By Examveda Team)

10% = $$\frac{1}{10}$$
\[\begin{gathered} {\text{Initial }}\,\,\,\,\,\,{\text{Final}} \hfill \\ \,\,\,{\text{10}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,9 \hfill \\ \,\,\,10\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,9 \hfill \\ \overline {\,\,100\,\,\,\,\,\,\,\,\,\,\,\,\,81\,\,\,} \hfill \\ \end{gathered} \]
⇒ 81 units = Rs. 8100
⇒ 1 unit = Rs. 100
⇒ 100 units = Rs. 10000
⇒ Value of property 2 years ago
⇒ Rs. 10000