Question

By selling an article for Rs. 810 and loss of 10% is suffered. Find its cost price.

Answer 1

Step 1: Find loss in terms of variable

Given: Loss =10%

Let the cost price be ₹ x

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

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

Step 2: Find the cost price

Given: Selling price is ₹ 810

Now, C.P. = S.P. + Loss

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

=$\frac{810\times 10+x}{10}$
⇒10x=8100+x
⇒10x-x=8100

⇒9x=8100
⇒x=$\frac{8100}{9}$
=900

Hence, the cost price is Rs. 900.