A fan in a shop is offered at a discount of 10 % . It is sold during clearance sale at 6 % discount

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7.Profit and Loss

hard

A fan in a shop is offered at a discount of $10 \%$. It is sold during clearance sale at $6 \%$ discount over the already discounted price at $Rs.\,846.$ The original marked price of the fan is (in $Rs.$)

A

$1000$

B

$900$

C

$850$

D

$896$

Solution

Let, the original marked price be $₹ x$

Equivalent discount $\%=\left(10+6-\frac{10 \times 6}{100}\right) \%$

$=(16-0.6) \%=15.4 \%$

Selling price $=x\left(\frac{100-15.4}{100}\right)=\frac{84.6 x}{100}=\frac{846}{1000}$

Now, according to the question, $\frac{846 x}{1000}=846$

$\therefore \quad x=\frac{846 \times 1000}{846}=Rs. 1000$

Standard 13

Quantitative Aptitude

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