Question

Even after giving 10 % discount on printed price of an item the shopkeeper gets a
12.5 % profit. If the item is sold without discount. What is percentage of profit?
1) 22.5 %
2) 25 %
3) 24.5 %
4) None of these.​

Answer 1

Answer:

Option 2 i.e. 25%

Step-by-step explanation:

Let CP = 100

Therefore as Profit % = 12.5 %

SP = CP x (100+12.5)/100

= 112.5

Discount = 10% (Given)

Therefore MP i.e. Marked price = (112.5 x 100) /90

[As MP x (100-Discount %) / 100 = CP]

Therefore Marked price = 125

If discount= 0 then SP = MP

Therefore P% = [(SP - CP) x 100 ] / 100

= (125 - 100 /100) x 100

= 25 %