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An article is at 10% more than the CP. If a discount of 10% is allowed, then which of the following is correct?
Question



An article is at 10% more than the CP. If a discount of 10% is allowed, then which of the following is correct?

A.

1% gain

B.

1% loss

C.

No gain, no loss

D.

More than one of the above

E.

None of the above

Correct option is B


Cost Price (CP): The original price of the article.
Selling Price (SP): The price at which the article is sold.
Marked Price (MP): The price at which the article is initially listed (before any discounts).
The article is marked 10% more than the CP.
If CP = 100, then MP = 100 + (10/100) x 100 = 110
A discount of 10% is given on the MP.
SP = MP - (10/100) x MP = 110 - (10/100) x 110 = 110 - 11 = 99
Since SP (99) is less than CP (100), there is a loss.
Loss = CP - SP = 100 - 99 = 1
Loss Percentage = (Loss/CP) x 100 = (1/100) x 100 = 1%

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