Question

A shopkeeper sells his goods at $10\%$ discount on the marked price. What price should be marked on an article that costs him Rs. $900$ to gain $10\%$?

• A. Rs. $800$
• B. Rs. $900$
• C. Rs. $1000$
• D. Rs. $1100$

Answer 1

The correct option is D Rs. $1100$

Let the M.P. of the article be Rs. $x$, Discount $=$ $10\%$
$\therefore$ S.P. of the article $=90$% of Rs. $x=\frac{90}{100}\times$ Rs $x=$ Rs. $\frac{9x}{10}$ ...........(i)
Now given C.P. $=$ Rs. $900$ and Gain $=$ $10\%$.
$\therefore$ S.P.$=$ Rs. $\frac{900\times 110}{100}=$ Rs. $990$ ............(ii)
From (i) and (ii), we have
$\frac{9x}{10}=990\Rightarrow x=$ Rs. $\frac{990\times 10}{9}=$ Rs. $1100$