A seller marks his goods 30% above their cost price but

A seller marks his goods 30% above their cost price but allows 15% discount for cash payment. His percentage of profit when sold in cash is

Let the C.P. be ₹ 100
∴ Marked price = ₹ 130
S.P. = 85% of ₹ 130

= ₹		85 × 130		= ₹ 110.5
		100

∴ Gain percent = 10.5%
2nd method to solve this question.
Here, r = 30%, r₁ = 15%

Profit % =	r × (100 − r₁)	− r₁
	100

Profit % =	30 × (100 − 15)	− 15
	100

Profit % =	30 × 85	− 15
	100

Required Profit % = 25.5 – 15 = 10.5%