Question : An item is sold for Rs. 14,400 after two successive discounts of 10 percent and 20 percent. What is the marked price of the article?
Option 1: Rs. 20,000
Option 2: Rs. 20,500
Option 3: Rs. 20,100
Option 4: Rs. 20,200
Correct Answer: Rs. 20,000
Solution :
Given: An item is sold for Rs. 14,400 after two successive discounts of 10% and 20%.
Let the marked price of the article be Rs. $x$.
Use the formula, Discount = MP – SP, where MP and SP are the marked price and the selling price respectively.
According to the question,
$x\times (\frac{100–10}{100})\times (\frac{100–20}{100})=14400$
⇒ $x\times (\frac{90}{100})\times (\frac{80}{100})=14400$
⇒ $x=\frac{14400\times 10\times 10}{8\times 9}=$ Rs. 20,000
Hence, the correct answer is Rs. 20,000.
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