A shopkeeper marks an article at such a price that after giving a discount of 12.5% on the marked price, he still earns a profit of 15%. If the cost price of the article is 385 Rs, then the sum of the marked price and the selling price of the article is?

948.75

{to be used ahead (-) 12.5 % =\(\frac{7}{8}\) 

(+) 15% = \(\frac{23}{20}\)

CP = 385},

ATQ, S.P. is equals to:

⇒ MP × 87.5% = CP × 115%

⇒ MP × \(\frac{7}{8}\) = 385 × \(\frac{23}{20}\)

⇒ MP = 385 × \(\frac{8}{7}\) × \(\frac{23}{20}\)

⇒ MP = 506

⇒ SP = MP × \(\frac{7}{8}\)

⇒ MP + SP = 506 + (506 × \(\frac{7}{8}\))

                 = 506 (1 + \(\frac{7}{8}\))

                 = 506 × \(\frac{15}{8}\)

                 = 948.75