A person purchased a saree for Rs.,7710 after availing a net discount of Rs.,1285. percentage of dis

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7.Profit and Loss

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A person purchased a saree for $Rs.\,7710$ after availing a net discount of $Rs.\,1285.$ The percentage of discount, the saree$-$shop offers, is

A

$14 \frac{1}{7}$

B

$14 \frac{2}{7}$

C

$14 \frac{3}{7}$

D

$14 \frac{4}{7}$

Solution

Marked price $=₹(7710+1285)=₹ 8995$

Let, the discount be $x \%$

Now, according to the question,

$x \%$ of $8995=1285$

$\Rightarrow \frac{8995 \times x}{100}=1285$

$\Rightarrow x=\frac{1285 \times 100}{8995}=\frac{100}{7}=14 \frac{2}{7} \%$

Standard 13

Quantitative Aptitude

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