A building worth Rs. 1,33,100 is constructed on land worth Rs. 72,900. After how many years will the value of both be the same if land appreciates at 10% p.a. and building depreciates at 10 % p.a.
Let the required time be n years. Then, 72900 x `(1 + 10/100)^n = 133100 x (1 - 10/100)^n`
`hArr (11/10)^n xx(10/9)^n = 133100/72900 hArr (11/9)^n = 1331/729 = (11/9)^3 hArr ` n = 3.
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