Question:A building worth `Rs 133, 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. ? 

A `2 1/2` 
B `2` 
C `1 1/2` 
D `3` 

+ Answer
D 

+ Explanation
`72900 (1 + (10)/(100))^n`

`= 133100 xx (1 - (10)/(100))^n`

`:. ((11)/(10))^n xx ((10)/9)^n`

`= (133100)/(72900)`

`= (1331)/(729)`

`:. ((11)/9)^n`

`= ((11)/9)^3`

`=> n`

`= 3`.

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Md. Habib Ullah

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