Given,
The price of a chair increased by = 30%,
Discount = 25%,
Price after discount = 9750.
To find,
Original price.
Solution,
We can solve this problem simply by following the below process.
Firstly, let the price of a chair be x.
It is given that the price is first increased by 30%, so, the new price will be,
x + 30% of x
= [tex]x+\frac{30}{100} x[/tex]
= x + 0.3x
= 1.3x
Now, a discount of 25% is given on the chair. This will be applicable to the new price after increment, that is, on (1.3x), so here, the new price after discount will be,
1.3x - 25% of 1.3x
[tex]=1.3x-\frac{25}{100} (1.3x)[/tex]
= 1.3x - 0.25(1.3x)
= 0.75(1.3x)
= 0.975x
The price after discount is given as 9750, so,
0.975x = 9750
[tex]x=\frac{9750}{0.975}[/tex]
x = 10000.
Therefore, the original price was 10000.