Question

By selling an article for ₹ 810, a loss of 10% is suffered. Find its cost price.

Answer 1

Finding loss in terms of variable
Given: Loss = 10%

Let the cost price be ₹ x

Then, loss (in ₹) $=\frac{Loss\%}{100}\times C.P.$

$=\frac{10}{100}\times x$

$=\frac{x}{10}$

Finding the cost price
Given: Selling price is ₹ 810

Now, C.P. = S.P. + Loss
$x=810+\frac{x}{10}$

$\Rightarrow x=\frac{810\times 10+x}{10}$

$\Rightarrow 10x=8100+x$

$\Rightarrow 10x-x=8100$

$\Rightarrow 9x=8100$

$\Rightarrow x=\frac{8100}{9}$

$\Rightarrow x=900$

Hence, the cost price is ₹ 900.