The marked price of a pen is 25% more than its cost price. The pen is sold for ₹220 after a discount of ₹30. What is the profit percentage?

The marked price of a pen is 25% more than its cost price.

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

the marked price of a pen = 100y of (100+25)%

= 100y of 125%

= $$100y\times\frac{125}{100}$$

= 125y

The pen is sold for ₹220 after a discount of ₹30.

125y-30 = 220

125y = 220+30

125y = 250

y = 2

cost price of a pen = 100y

= $$100\times2$$

= 200

Profit percentage = $$\frac{\left(selling\ price-\cos t\ price\right)}{\cos t\ price}\times100$$

= $$\frac{\left(220-200\right)}{200}\times100$$

= $$\frac{20}{200}\times100$$