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Question : A shopkeeper earns a profit of 15% after selling a book at a 20% discount on the printed price. The ratio of the cost price to the printed price of the book is:

Option 1: 20 : 23

Option 2: 23 : 20

Option 3: 16 : 23

Option 4: 23 : 16


Team Careers360 13th Jan, 2024
Answer (1)
Team Careers360 15th Jan, 2024

Correct Answer: 16 : 23


Solution : Selling price = $\frac{100-\text{discount%}}{100}×$ marked price
Selling price = $\frac{100+ \text{profit%}}{100}×$ cost price
From both formulas,
$\frac{100-\text{discount%}}{100}×$ marked price =  $\frac{100+ \text{profit%}}{100}×$ cost price
⇒ $\frac{100-20}{100}×$ marked price =  $\frac{100+15}{100}×$ cost price
⇒ Cost price : marked price = 80 : 115 = 16 : 23
Hence, the correct answer is 16 : 23.

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