Even after giving 10 % discount on printed price of an item the shopke

1.	Even after giving 10 % discount on printed price of an item the shopkeeper gets a12.5 % 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» 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 %

Even after giving 10 % discount on printed price of an item the shopkeeper gets a12.5 % 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»

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 %

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Even after giving 10 % discount on printed price of an item the shopkeeper gets a12.5 % 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.​

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Even after giving 10 % discount on printed price of an item the shopkeeper gets a12.5 % 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.