A person bought an article at 30% discount on its marked price. The person then sold it at 30% profit for ₹427.70. What was the marked price of the article?

Given,  %profit = 30%, S.P. =427.70 rs, discount% = 30%  

Let     C.P. of article is x rs.

profit$$=30$$% of c.p.

profit$$=\dfrac{30x}{100}$$

profit$$=\dfrac{30x}{100}$$

profit$$=\dfrac{3x}{10}$$

profit$$=S.P.-C.P.$$

$$\dfrac{3x}{10}=427.70-x$$

$$\dfrac{3x}{10}+x=427.70$$

$$\dfrac{13x}{10}=427.70$$

$$13x=4277$$

$$x=\dfrac{4277}{13}$$

$$x=329$$rs.

C.P.= MP-discount

CP=70%OF MP

$$329=\dfrac{70MP}{100}$$

MP$$=\dfrac{329\times100}{70}$$

MP=470 rs.