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

Answer 1

The correct option is D $45:56$

Let the MP be Rs. x

So, SP will be Rs 0.9x

Given profit = 12%

So, CP = $\frac{100\times SP}{100+profit}CP=\frac{100\times 0.9x}{100+12}CP=\frac{90x}{112}$

Hence, the ratio of CP to MP is $\frac{90x}{112}:x=45:56$