# Q.2. The value of an article decreased for two years at the rate of 10 % per year and then in the third year it increased by 10 %. Find the original value of the article, if its value at the end of 3 years is Rs. 40,095.

Dear Student,

Let , Original value of article =  P

And we know formula when price decreased :  Amount =  P

Here , r  = 10  and t  = 2 ( In years )  , So

Value of the article after 2 years  =  P

Also given : In third year value is increased by 10 %  , So

Value of article after three years  =

Also given value of article after three years  =  Rs . 40095  , So

Therefore,

Original value of article = Rs. 45000                                                     ( Ans )