Question : A discount of 20 percent on article A is equal to a discount of 15 percent on article B. What is the ratio of the marked price of articles A and B?
Option 1: 6 : 11
Option 2: 3 : 4
Option 3: 7 : 8
Option 4: 6 : 7
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Correct Answer: 3 : 4
Solution :
Let the marked price of A be $x$ and the marked price of B be $y$.
According to the question,
$\frac{20x}{100}=\frac{15y}{100}$
$⇒\frac{x}{y}=\frac{3}{4}$
$\therefore x:y=3:4$
Hence, the correct answer is 3 : 4.
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