Question : An item is sold at two successive discounts of 20 percent and 20 percent. The selling price of the article after the second discount is Rs. 3,616. If it is sold only at one discount of 20 percent, then what will be the selling price of the article?
Option 1: Rs. 3,960
Option 2: Rs. 4,520
Option 3: Rs. 4,080
Option 4: Rs. 5,200
Correct Answer: Rs. 4,520
Solution :
Given: An item is sold at two successive discounts of 20 percent and 20 percent.
The selling price of the article after the second discount is Rs. 3,616.
Selling price = Marked price – Discount
Let the marked price be Rs. $x$.
The first successive discount = $x$ – (20% of $x$).
⇒ $x-\frac{20x}{100} = \frac{8x}{10}$
The second successive discount = $\frac{8x}{10}$ – (20% of $\frac{8x}{10}$).
⇒ $\frac{8x}{10}-(\frac{20}{100}\times \frac{8x}{10}) = \frac{8x}{10} - \frac{4x}{25}= \frac{32x}{50}$
According to the question,
$\frac{32x}{50}=3616$
⇒ $x=\frac{3616\times 50}{32}=$ Rs. 5,650
The selling price of the article = $\frac{80}{100}\times 5650=$ Rs. 4,520
Hence, the correct answer is Rs. 4,520.
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