Question : A trader allows two successive discounts of 30% and 15% on selling an article. If he gets Rs. 476 for that article, find its marked price.
Option 1: Rs. 700
Option 2: Rs. 400
Option 3: Rs. 900
Option 4: Rs. 800
Correct Answer: Rs. 800
Solution :
Let the marked price be Rs. $x$.
For two successive discounts of 30% and 15%,
Selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}×$ Marked price
$⇒x×\frac{100-30}{100}×\frac{100-15}{100}=476$
$⇒x×\frac{70}{100}×\frac{85}{100}=476$
$⇒x=476×\frac{100}{70}×\frac{100}{85}$
$\therefore x=800$
Hence, the correct answer is Rs. 800.
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