If the selling price of an article is 32% more than its cost price and the discount offered on its marked price is 12%, then what is the ratio of its cost price to the marked price?

Solution (By Examveda Team)

$$32\% \to \frac{{ + 8}}{{25}},\,\,12\% \to \frac{{ - 3}}{{25}}$$
\[\begin{array}{*{20}{c}} {{\text{Cost price }}\,\,\,{\text{ Selling price }}\,\,\,{\text{ Marked price}}} \\ {{{25}_{ \times 2}}\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,{{33}_{ \times 2}}\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,} \\ {\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,{{22}_{ \times 3}}\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,{{25}_{ \times 3}}} \\ {\overline {\,\,50\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,66\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,:\,\,\,\,\,\,\,\,\,\,\,\,\,75\,\,\,\,\,\,\,\,} } \end{array}\]
$${\text{Cost price}}:{\text{Marked price}} = 2:3$$