A dealer marks his goods at 25% above the cost price and

A dealer marks his goods at 25% above the cost price and allows a discount of 10% for cash payment. His profit % is :

Let Cost price of article = ₹ 100
Marked price = ₹ 125

∴ S.P. =	125 × 90	= ₹ 112.5
	100

∴ Gain = 112.5 – 100 = 12.5
⇒ Gain percent = 12.5%
2nd method to solve this question.
Here, r = 25%, r₁ = 10%

Profit % =	r ×(100 − r₁)	− r₁
	100

Profit % =	25 × (100 − 10)	− 10
	100

Profit % =	25 × 90	− 10
	100

Required Profit % = 22.5 – 10 = 12.5%