Question : An article was sold for INR 716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in INR) should it be sold?
Option 1: 748
Option 2: 732
Option 3: 675
Option 4: 756
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Correct Answer: 748
Solution :
An article was sold = INR 716
Discount = 10.5%
Let the marked price be $x$.
Selling Price = $\text{Marked Price}×\frac{(100 - \text{Discount%})}{100}$
⇒ $716 = x×\frac{(100-10.5)}{100}$
⇒ $716 = x×\frac{89.5}{100}$
⇒ $x = \frac{716\times100}{89.5}$
$\therefore x =$ INR 800
At a discount of 6.5%,
Selling Price = $\text{Marked Price}×\frac{(100 - \text{Discount%})}{100}=800×\frac{(100-6.5)}{100}=800×\frac{93.5}{100}=748$
Hence, the correct answer is INR 748.
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