Question : $\frac{3}{4}$th of the marked price of an article is equal to $\frac{5}{6}$th of selling price. What is the discount percentage?
Option 1: 12.5%
Option 2: 10%
Option 3: 15%
Option 4: 11.11%
Correct Answer: 10%
Solution :
Given:
$\frac{3}{4}$th of the marked price of an article is equal to $\frac{5}{6}$th of selling price.
Let the marked price be 100.
So, $\frac{3}{4}$th of the marked price of an article $=\frac{3}{4}×100=75$
Let the selling price be $x$.
$\frac{5x}{6}=75$
⇒ $x=90$
So, the discount percentage is (100 – 90)% = 10%
Hence, the correct answer is 10%.
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