Question

the cost of a article goes down every year by 10% of it previous value find it original cost if the cost of it after 2 years is19200 please help me IAM student​

Answer 1

Answer:

23703.7037 (Almost)

Step-by-step explanation:

Suppose,

    The beginning price of the following article is $x$

After 1 year,

   The price had been decreased by 10%

   And, The price became  = $x-(x*\frac{10}{100} )$

After 2 years,

  The price has been decreased by 10%

  And, The price becomes  = $(x-(x*\frac{10}{100} ))-((x-(x*\frac{10}{100} ))*\frac{10}{100} )$

The price after 2 years from the beginning is 19200

Well, we have found an equation...

     $(x-(x*\frac{10}{100} ))-((x-(x*\frac{10}{100} ))*\frac{10}{100} )=19200$

Or, $(x-\frac{x}{10} )-(x-\frac{x}{10} )*\frac{1}{10} =19200$

Or, $\frac{10x-x}{10}-\frac{10x-x}{10} *\frac{1}{10} =19200$

Or, $\frac{9x}{10}-\frac{9x}{100} =19200$

Or, $\frac{90x-9x}{100} =19200$

Or, $81x=1920000$

Or, $x= \frac{1920000}{81}$

 ∴  $x= 23703.7037037037...$

Then the beginning cost of the article was 23703.7037 (Almost)

Hope you understood the process...

By- Md. Mominur Islam Mahim.