Question

The price of a garment has been reduced by $15\%$ in a sale to $Rs306$. Find its original price.

Answer 1

Let the original price of the garment be $Rs.x$.

Cost of garment after reducing $15\%=Rs.306$

Now according to the question-

$x-15\%$ of $x=306$

$\Rightarrow x-(\frac{15}{100}\times x)=306$

$\Rightarrow x-\frac{3x}{20}=306$

$\Rightarrow \frac{20x-3x}{20}=306$

$\Rightarrow 17x=6120$

$\Rightarrow x=\frac{6120}{17}=360$

Hence the original price of the garment is $Rs.360$.