Mark (✓) against the correct answer:

Question:

Mark (✓) against the correct answer:

The price of a watch including 8% VAT is Rs 810. What is its basic price?

(a) Rs 675

(b) Rs 729

(c) Rs 750

(d) Rs 745

Solution:

​(c) Rs.750  

Let the original price be Rs $x$.

$\mathrm{VAT}=8 \%$ of Rs $x$

$=\operatorname{Rs}\left(x \times \frac{8}{100}\right)$

$=\operatorname{Rs} \frac{8 x}{100}$

$\therefore$ Price including VAT $=\mathrm{Rs}\left(x+\frac{8 x}{100}\right)$

$=R s . \frac{108 x}{100}$

Now, $\frac{108 x}{10}=810$

$\Rightarrow x=\left(810 \times \frac{100}{108}\right)$\

$\Rightarrow x=750$

 

 

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