A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is:
A. 45 : 56 B. 45 : 51 C. 47 : 56 D. 47 : 51 Answer: Option AShow Answer
Solution(By Apex Team)
$\begin{array}{l}\text{Let the CP be 100}\\
\mathrm{SP}=100+12\%\text{ of }100\\
\quad=112\\
\text{If the marked price be X , then}\\
\begin{array}{l}90\%\text{ of }X=112\\
\Rightarrow x=\frac{112\times100}{90}\\
\Rightarrow x=\text{ Rs. }\frac{1120}{9}\\
\text{Hence, required ratio}\\
\begin{array}{l}=100:\frac{1120}{9}\\
=900:1120\\
=45:56\end{array}\end{array}\end{array}$
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