Venus marked an article at 60% above its cost price. She sold it at a profit of 20%. Find the discount percentage offered on the article.

Let's assume the cost price of the article is '100y'.

Venus marked an article at 60% above its cost price.

MRP of the article = 100y of (100+60)%

= 100y of 160%

= $$100y\times\frac{160}{100}$$

= 160y

She sold it at a profit of 20%.

Selling price of the article = 100y of (100+20)%

= 100y of 120%

= $$100y\times\frac{120}{100}$$

= 120y

The discount percentage offered on the article = $$\frac{\left(160y-120y\right)}{160y}\times100$$

= $$\frac{40y}{160y}\times100$$

= $$\frac{1}{4}\times100$$

= 25%