1.

A building worth Rs 133100 is constructed on land worth Rs 72900. After how many years will the value of both be same if the land appreciates at 10% p.a. and building depreciates at 10% p.a. ?(a) \(1\frac{1}{2}\) years(b) 2 years(c) 2\(\frac{1}{2}\) years(d) 3 years

Answer»

(d) 3 years

Let the required time be t years. Then,

72900\(\big(1+\frac{10}{100}\big)^t\) = 133100\(\big(1-\frac{10}{100}\big)^t\)

\(\Rightarrow\) \(\big(\frac{11}{10}\big)^t\)\(\big(\frac{10}{9}\big)^t\) = \(\big(\frac{11}{9}\big)^3\) \(\Rightarrow\)\(\big(\frac{11}{9}\big)^t\) = \(\big(\frac{11}{9}\big)^3\)

\(\Rightarrow\) t = 3 years.



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