How much percent above the cost price should a shopkeeper

How much percent above the cost price should a shopkeeper mark his goods so as to earn a profit of 32% after allowing a discount of 12% on the marked price ?

Let the C.P. be ₹ 100 and the marked price be ₹ p.

∴ p ×	88	= 132
	100

⇒ p =	132 × 100
	88

= 150 i.e., more by 50%
∴ Required percentage = 50%
2nd method to solve this question.
Here, Gain % = 32%,, r₁ = 12%, r = ?

Gain % =	r × (100 − r₁)	− r₁
	100

32 =	r × (100 − 12)	− 12
	100

44 =	r × 88
	100

r = 50%