Question

An article was sold for 250with a profit of 5\what was its cost price

Answer 1

SP of Article=₹250
Profit=5%

Let CP=₹x

Then
$x + (5\% \: of \: x) = 250$
(Why we add X
As Let CP=10
Profit=10%

Profit
=10×10/100
=₹1
SP=10+1=₹11

But it can be written as
10+(10%×10)
10+1
=₹11)

Then

$x + (5\% \: of \: x) = 250 \\ \\ = x + ( \frac{5}{100} \times x) = 250 \\ \\ = x + \frac{x}{20} = 250 \\ \frac{20x + x}{20} = 250 \\ \\ \frac{21x}{20} = 250 \\ \\ x = 250 \times \frac{20}{21} \\ = 238.09$

$\boxed{\mathsf{CP=Rs.238.09}}$