Question : The cost price of an article is Rs. 5500. It was sold at a profit of 9.09%. If the article was sold at a discount of 20%, then what is the marked price (in Rs.) of the article?
Option 1: Rs. 6000
Option 2: Rs. 7500
Option 3: Rs. 6600
Option 4: Rs. 6800
Correct Answer: Rs. 7500
Solution :
The cost price of an article is Rs. 5500.
It was sold at a profit of 9.09%.
$\therefore$ Selling price $=\frac{100+9.09}{100}×5500 = 6000$
It was sold at a discount of 20%.
$\therefore$ Marked price $=\frac{100}{100-20}×6000=7500$
Hence, the correct answer is Rs. 7500.
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