Question

After, allowing a discount of $26\%$ on the marked price of an article, it is sold at Rs. $444$. Find its marked price.

• A. Rs. $500$
• B. Rs. $550$
• C. Rs. $640$
• D. Rs. $600$

Answer 1

The correct option is D Rs. $600$

S.P. $=$ Rs. $444$, Discount $=26\%$

Let M.P. $=$ Rs. $x$

Then, M.P. $-$ discount $=$ S.P.

$\Rightarrow x-26\%$ of $x=444$
$\Rightarrow x-\frac{26}{100}x=444$
$\Rightarrow x-\frac{13x}{50}=444$
$\Rightarrow \frac{50x-13x}{50}=444$
$\Rightarrow \frac{37x}{50}=444$
$\Rightarrow x=\frac{444\times 50}{37}=$ Rs. $600$

Hence, the marked price is Rs. $600$.