Question

Dinesh bought an article for ₹ 374, which included a discount of $15\%$ on the marked price and GST of $10\%$ on the reduced price. Find the marked price of the article.

• A. ₹ 500
• B. ₹350
• C. ₹ 400
• D. ₹ 450

Answer 1

The correct option is C

₹ 400

Let marked price be $x$.

Discount % = $15\%$
GST = $10\%$

Discount = $15\%ofx=\left(\frac{15}{100}\right)x=\frac{15x}{100}$

Selling price of the article = $x-\frac{15x}{100}=₹\left(\frac{85x}{100}\right)$

GST = $10\%of\frac{85x}{100}=\left(\frac{10}{100}\right)\left(\frac{85x}{100}\right)=\frac{85x}{1000}$

Final price including sales tax$=\frac{85x}{100}+\frac{85x}{1000}=\frac{935x}{1000}$

Now, final price of the article is ₹ 374.
$\Rightarrow \frac{935x}{1000}=₹374$

$\Rightarrow x=₹374\left(\frac{1000}{935}\right)=₹400$

Hence, marked price of the article is$₹400$.