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. 50 : 61

C. 99 : 125

D. None of these

Answer: Option A

Solution(By Examveda Team)

Let the printed price be Rs. 100
S.P. = 90% of Rs. 100 = Rs. 90
$$\eqalign{ & {\text{C}}{\text{.P}}{\text{. = Rs}}{\text{.}}\left( {\frac{{100}}{{112}} \times 90} \right) \cr & \,\,\,\,\,\,\,\,\,\,\,\,\, = {\text{Rs}}{\text{.}}\frac{{4500}}{{56}} \cr & \therefore {\text{ CP}}:{\text{Printed price}} \cr & {\text{ = }}\frac{{4500}}{{56}}:100 \cr & = 45:56 \cr} $$