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An article when sold for ₦230.00 makes a 15% profit. Fi...

An article when sold for ₦230.00 makes a 15% profit. Find the profit or loss % if it was sold for ₦180.00

A.

10% gain

B.

10% loss

C.

12% loss

D.

12% gain

Correct answer is B

First S.P = ₦230.00

% profit = 15%

% profit = S.PC.PC.P x 100%

⇒ 15% = 230C.PC.P x 100%

15100=230C.PC.P

⇒15C.P = 100 (230 - C.P)

⇒15C.P = 23000 - 100C.P

⇒15C.P + 100C.P = 23000

⇒115C.P = 23000

⇒ C.P = 23000115 = ₦200.00

Second S.P = ₦180.00

Since C.P is greater than S.P, therefore it's a loss

% loss = C.PS.PC.P x 100%

200180200 x 100%

20200 x 100%

110 x 100% = 10%

∴ It's a loss of 10%