The ratio of cost price to the selling price of an article is 5:6. If 20\% discount is offered on the marked price of the article, then the marked price is what percent more than the cost price?

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**Solution:**

1. Let the cost price (C.P.) be $5y$ and the selling price (S.P.) be $6y$ as given by the ratio $5:6$.

2. Let the marked price (M.P.) be $x$.

3. Given a 20\% discount on the marked price, the selling price is:
   
   $$\text{S.P.} = 80\% \times x = 0.8x$$

4. Since S.P. is also $6y$, we have:

$$0.8x = 6y \implies x = \frac{6y}{0.8} = \frac{6y}{\frac{4}{5}} = 6y \times \frac{5}{4} = 7.5y$$

5. Now, the marked price $x = 7.5y$ and cost price is $5y$.

6. The percentage by which marked price is more than cost price is:

$$\frac{7.5y - 5y}{5y} \times 100 = \frac{2.5y}{5y} \times 100 = 50\%$$

**Answer:** 50\%

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