Question : A shopkeeper sells an article at a 10 percent loss after giving a discount of 20 percent. What is the ratio of the cost price and marked price of the article?
Option 1: 5 : 8
Option 2: 8 : 9
Option 3: 7 : 9
Option 4: 4 : 9
Correct Answer: 8 : 9
Solution :
Let the marked price of the article be $MP$ and the cost price be $CP$.
After giving a discount of 20%, Selling price = $\frac{80}{100}\times MP$
At loss of 10%, Selling price = $\frac{90}{100}\times CP$
Now,
$\frac{80}{100}\times MP = \frac{90}{100}\times CP$
$\therefore \frac{MP}{CP}=\frac{90}{80}=\frac{9}{8}⇒CP:MP=8:9$
Hence, the correct answer is 8 : 9.
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