Question:
The sale price of a TV set including VAT is Rs 27000. If the VAT is charged at 8% of the list price, what is the list price of the TV set?
Solution:
Let the list price of the IV set be Rs $x$.
$\mathrm{VAT}=8 \%$ of Rs. $x$
$=\operatorname{Rs} \cdot\left(x \times \frac{8}{100}\right)$
$=\operatorname{Rs} \cdot \frac{8 x}{100}$
$\therefore$ Price including VAT $=\mathrm{Rs} .\left(x+\frac{8 x}{100}\right)$
$=$ Rs. $\frac{108 x}{100}$
Now, $\frac{108 x}{100}=27000$
$\Rightarrow x=\left(27000 \times \frac{100}{108}\right)$
= 25000
Hence, the list price of the TV set is Rs 25,000.