What percentage loss will a merchant incur if he marks his goods up by x% over his cost price and then offers a discount of x% on his selling price?  Pick one:
A) 0 %	B) 2x/100 %	C) x^2/100 %	D) x %	E) 2x %
Answer is C.   Taking smart numbers:   Let, C.P = 100$ and X = 20% over C.P   then Mark Up = 120$   After discount of X%   S.P= 80% of 120   S.P = 96$   Therefore Loss is 4$ and hence Loss in % = 4%   Plugging numbers in options.   A. 0 % ---------------------------Not truebecause loss is 4%   B. 2x/100 % --------------------2*20/100= 
<gadget id="calculator">--------------------2*20/100</gadget>
<output>2/5 = around 0.4</output>
0.4%.Hence Not True   C. x^2/100 % ------------------ 20^2/100= 4%.True ANSWER IS C   D. x % --------------------------- 20%.Hence Not True   E. 2x %  -------------------------- 2*20= 
<gadget id="calculator"> -------------------------- 2*20</gadget>
<output>40</output>
40%.Hence Not True ANSWER IS x^2/100 %
<result>C</result>
What percentage loss will a merchant incur if he marks his goods up by x% over his cost price and then offers a discount of x% on his selling price?