A tradesman marks his goods at such a price that after allowing a disc

1.	A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?
Answer» Given, C.P. of the article = 170 Rs. Profit = 20% \(\frac{20}{100}\) = \(\frac{S.P.-C.P.}{C.P.}\) S.P. = \(\frac{120}{100}\) x C.P. S.P. = \(\frac{120}{100}\) x 170 S.P. = 204 And discount = 15% \(\frac{15}{100}\) = \(\frac{M.P.-S.P.}{M.P.}\) \(\frac{15}{100}\)M.P. = M.P. - S.P. S.P. = \(\frac{85}{100}\)M.P. M.P. = \(\frac{100\times204}{85}\) = 240 M.P. = 240/-

A tradesman marks his goods at such a price that after allowing a discount of 15%, he makes a profit of 20%. What is the marked price of an article whose cost price is Rs. 170?

Answer»

Given,

C.P. of the article = 170 Rs.

Profit = 20%

\(\frac{20}{100}\) = \(\frac{S.P.-C.P.}{C.P.}\)

S.P. = \(\frac{120}{100}\) x C.P.

S.P. = \(\frac{120}{100}\) x 170

S.P. = 204

And discount = 15%

\(\frac{15}{100}\) = \(\frac{M.P.-S.P.}{M.P.}\)

\(\frac{15}{100}\)M.P. = M.P. - S.P.

S.P. = \(\frac{85}{100}\)M.P.

M.P. = \(\frac{100\times204}{85}\) = 240

M.P. = 240/-