Question

An Almirah is sold at Rs. $5225$ after allowing a discount of $5\%$. Find its marked price.

• A. 5000
• B. 5500
• C. 4500
• D. 6000

Answer 1

The correct option is B ($Rs.5500$)

Given, selling price $=Rs.5225$.
Let the marked price $=Rs.x$
Discount $=5\%$ of $x$
Since, Selling price $=$ Marked price $-$ discount
$\Rightarrow 5225=x-5\%$ of $x$
$\Rightarrow 5225=x(1-\frac{5}{100})$
$\Rightarrow 5225=x\left(\frac{100-5}{100}\right)$
$\Rightarrow 5225=x\left(\frac{95}{100}\right)$
$\Rightarrow x=5225\times \frac{100}{95}$
$\therefore x=Rs.5500$

Hence, marked price is $Rs.5500.$