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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 A
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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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