Question

A shopkeeper allows $$20 \%$$ discount on his goods and still earns a profit $$20 \%$$. If an article is sold for Rs. 360, find:
the cost price

Answer 1

Consider Rs. x as the C.P. of the article
Profit $$= 20 \%$$
S.P. $$=$$ Rs. $$360$$
We know that
S.P. =$$ [1 + P/100]$$ of C.P.
Substituting the values
$$360 = [1 + 20/100]$$ of $$x$$
Bu further calculation
360 = [1 + 1/5] of x
So we get
$$360 = 6x/5$$
By cross multiplication
$$x = 360 \times 5/6$$
$$x = 60 \times 5$$
$$x = Rs. 300$$
Therefore, the C.P. of the article is Rs. 300.