Question : An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent. What is the marked price of the article?
Option 1: INR 75,000
Option 2: INR 78,000
Option 3: INR 72,000
Option 4: INR 81,000
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Correct Answer: INR 75,000
Solution :
Given: An article is sold for INR 54,120 after two successive discounts of 12 percent and 18 percent.
For two successive discounts Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ marked price
$54120=(1–\frac{12}{100})\times(1–\frac{18}{100})\times MP$
⇒ $54120=\frac{88}{100}\times \frac{82}{100}\times MP$
⇒ $MP=\frac{54120\times100\times100}{88\times 82}=$ INR 75,000
Hence, the correct answer is INR 75,000.
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