A Tradesman Gives 4% Discount On The Marked Price And Gives 1 Article Free For Buying Every 15 Articles And Thus Gains 35% . The Marked Price Is Increased Above The Cost Price By (A) 20.00% (B) 39.00% (C) 40.00% (D) 50.00%

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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