Question

A shopkeeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price to the printed price of the book is :

• A. 50 : 61
• B. 45 : 56
• C. 99 : 125
• D. 55 : 69

Answer 1

The correct option is B 45 : 56

Let the C.P. be Rs. 100.
Then, S.P. = Rs. 112.
Let the printed price be Rs. x
Then, 90% of x = 112

$\Rightarrow \frac{90}{100}x=112$

$\therefore x=\left(\frac{112\times 100}{90}\right)=\frac{1120}{9}\therefore (C.P.):\left(Printedprice\right)=100:\frac{1120}{9}$

= 900 : 1120 = 45 : 56