Question : A person purchased a saree for Rs. 7710 after availing a net discount of Rs. 1285. The percentage discount that the saree shop offers is:
Option 1: $14\frac{1}{7}$%
Option 2: $14\frac{2}{7}$%
Option 3: $14\frac{3}{7}$%
Option 4: $14\frac{4}{7}$%
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Correct Answer: $14\frac{2}{7}$%
Solution :
Given: Cost price of saree = Rs. 7710 , Discount on saree = Rs. 1285
∴ Marked price = (7710 + 1285) = Rs. 8995
Discount % = $\frac{\text{Discount}}{\text{Selling Price + Discount}}$,
Therefore, discount % = $\frac{1285}{8995}$×100% $= \frac{100}{7}=14\frac{2}{7}$%
So, the percentage discount offered by the saree shop is $14\frac{2}{7}$%.
Hence, the correct answer is $14\frac{2}{7}$%.
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