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1. 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

Solution:

\begin{aligned} Let the CP be 100 \\ Hence, \\ SP = 100 + 12 % o f 100 \\ = 112 \\ If the marked price be X, then \\ 90 % o f X = 112 \\ \Rightarrow x = \frac{112 \times 100}{90} \\ \Rightarrow x = R s . \frac{1120}{9} \\ Hence, \\ Required ratio \\ = 100 : \frac{1120}{9} \\ = 900 : 1120 \\ = 45 : 56 \end{aligned}

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