Question : A dealer allows a discount of 15%. A customer pays an amount of Rs. 318.75 for an article. At what price is the article listed?
Option 1: Rs. 366.50
Option 2: Rs. 375.00
Option 3: Rs. 350.00
Option 4: Rs. 431.25
Correct Answer: Rs. 375.00
Solution :
Let $x$ be the marked price.
Discount = 15%, the selling price = $\frac{100-D_1}{100}\times \text{MP}$, where D
1
is discount percentage and MP is the marked price.
Selling Price = 85% of $x$
⇒ 318.75 = $\frac{85 × x}{100}$
⇒ $x$ = $\frac{318.75 × 100}{85}$
⇒ $x$ = $\frac{31875}{85}$
⇒ $x$ = Rs. 375
Hence, the correct answer is Rs. 375.00.
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