Question:
Mohini purchased a computer for Rs 37960 including VAT at 4%. What is the original price of the computer?
Solution:
Let the original price of the computer be Rs $x$.
$\mathrm{VAT}=4 \%$ of Rs. $x$
$=$ Rs. $\left(x \times \frac{4}{100}\right)$
$=$ Rs. $\frac{4 x}{100}$
$\therefore$ Price including VAT $=$ Rs. $\left(x+\frac{4 x}{100}\right)$
$=$ Rs. $\frac{104 x}{100}$
Now, $\frac{104 x}{100}=37960$
$\Rightarrow x=\left(37960 \times \frac{100}{104}\right)$
= 36500
∴ The original price of the computer is Rs 36,500