The original price of a certain TV set is discounted by x percent, and the reduced price is then discounted by 2x percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
Options:	A) P(1 - 0.03x + 0.02x^2)	B) P(1 - 0.03x + 0.0002x^2)	C) P(1 - 0.03x + 0.002x^2)	D) P(1 - 2x^2)	E) P(1 - 3x + 2x^2)
Let us say that P = 100 $ and x = 10 %   Now if there are two successive discounts of 10 % and 20 % then the effective discount percentage will be -10 - 20 + (-10) (-20)/100 = -30 + 2 = 28 %   Hence the new price will be 100 - 28= 
<gadget id="calculator">100 - 28</gadget>
<output>72</output>
72   Hence by plugging in P= 100 and x = 10 the answer should be 72   A: P(1 - 0.03x + 0.02x^2) = 100 (1 - 0.3 + 2) = 100(2.7)   P(1 - 0.03x + 0.0002x^2): P(1 - 0.03x + 0.0002x^2) = 100 (1 - 0.3 + 0.02) = 100 (1 - 0.28) = 72 (P(1 - 0.03x + 0.0002x^2)INGO!) (Let's still eliminate all other answer options - what if another one gives me 72)   C: P(1 - 0.03x + 0.002x^2) = 100 (1 - 0.3 + 0.2)   D: P(1 - 2x^2) = 100 ( 1 - 200)   E: P(1 - 3x + 2x^2) = 100 ( 1 - 0.2 + 200)   Hence the answer is P(1 - 0.03x + 0.0002x^2)
<result>B</result>
The original price of a certain TV set is discounted by x percent, and the reduced price is then discounted by 2x percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?