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Question
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?
Solution
\[\text { Given, } \]
\[\text { CP of the article = Rs . } 170\]
\[\text { Profit = 20 % }\]
\[\text { We know that }, \]
\[\text { SP }= \left[ \frac{\left( 100 + \text { Gain % } \right)}{100} \times\text { CP } \right]\]
\[ = \left[ \frac{120}{100} \times 170 \right]\]
\[ = \frac{20400}{100}\]
\[ =\text { Rs } . 204\]
\[\text { Let the MP of the article be Rs . x } . \]
\[\text { Discount = 15 % } \]
\[\text { Therefore, Discount = 15 % of x }\]
\[ = 0 . 15x\]
\[\text { So, SP = MP - Discount }\]
\[\text { MP = SP + Discount }\]
\[x = 204 + 0 . 15x\]
\[x - 0 . 15x = 204\]
\[0 . 85x = 204\]
\[x = Rs . 240\]
\[\text { Thus, the marked price of the article is Rs } . 240 .\]
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