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?

Answer 1

\[\text { Given, } \]

\[\text { CP of the article = Rs . } 170\]

\[\text { Profit = 20 %  }\]

\[\text { We know that }, \]

\[\text { SP  }= \left[ \frac{\left( 100 + \text { Gain % } \right)}{100} \times\text {  CP } \right]\]

\[ = \left[ \frac{120}{100} \times 170 \right]\]

\[ = \frac{20400}{100}\]

\[ =\text {  Rs } . 204\]

\[\text { Let the MP of the article be Rs . x } . \]

\[\text { Discount = 15 % } \]

\[\text { Therefore, Discount = 15 % of x }\]

\[ = 0 . 15x\]

\[\text { So, SP = MP - Discount }\]

\[\text { MP = SP + Discount }\]

\[x = 204 + 0 . 15x\]

\[x - 0 . 15x = 204\]

\[0 . 85x = 204\]

\[x = Rs . 240\]

\[\text { Thus, the marked price of the article is Rs } . 240 .\]