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The price of an article  was increased by  r%. Later the new price was decreased by  r % if the latest  price was

Re. 1, then the original price was :


Options:
A .  Re. 1
B .  Rs.`((1 - r^2)/(100))`
C .  Rs.`sqrt(1 - r^2)/(100)`
D .  Rs.`((10000)/(10000 - r^2))`
Answer: Option D

Let the original price be Rs. `x`

`:.`    (100  -  r)% of (100 + r)%  of  `x` = 1

`rArr   ((100  -  r))/(100) xx ((100 + r))/(100)  xx x = 1`  

`rArr  x = (100 xx 100)/((100 - r) (100 + r))`

            = `(10000)/((10000 - r^2))`




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