The correct answer is (D) 50.00%
Let the C.P of each article = 100 Rs.
The cost price of (15 + 1) article will be
\(\begin{array}{l} \Rightarrow 100 * 16 = 1600 Rs \end{array} \)
If Tradesman earns 35% profit
Then the selling price of 15 articles will be
\(\begin{array}{l} \Rightarrow \frac{135}{100} * 1600 = 2160 Rs \end{array} \)
Then the selling price of each article will be
\(\begin{array}{l} \Rightarrow \frac{2160}{15} = 144Rs \end{array} \)
Let the marked price of each article be – 1Rs
Then the marked price of 15 articles be 15Rs
This price after discount of 4% will be
\(\begin{array}{l} \Rightarrow 100 – 4 = 96 Rs. \end{array} \)
If the selling price is 96Rs, then the marked price = 100Rs
If the selling price is 144, then the marked price will be
\(\begin{array}{l} \Rightarrow \frac{100}{96} * 144 \end{array} \)
\(\begin{array}{l} \Rightarrow 150Rs \end{array} \)
Therefore, the market price is 50% above the cost price
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