Karuna bought 10 g of gold for Rs 15756 including VAT at 1%.

Question:

Karuna bought 10 g of gold for Rs 15756 including VAT at 1%. What is the rate of gold per 10 g?

Solution:

Let the price of $10 \mathrm{~g}$ of gold be Rs $x$.

$\mathrm{VAT}=1 \%$ of Rs $x$

$=\operatorname{Rs}\left(x \times \frac{1}{100}\right)$

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

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

$=\mathrm{Rs} \frac{101 x}{100}$

Now, $\frac{101 x}{100}=15756$

$\Rightarrow x=\operatorname{Rs}\left(15756 \times \frac{100}{101}\right)$

= Rs 15600

Hence, the price of 10 g of gold is Rs 15,600.

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