The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f 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?  Choose the correct choice from the following choices.
A) P(1 - 0.03x + 0.02x^2) B) P(1 - 0.03f + 0.0002f^2) C) P(1 - 0.03x + 0.002x^2) D) P(1 - 2x^2) E) P(1 - 3x + 2x^2)
Youcansolve this problem with number plugging.   Say the original price was $10 and f=50. Then after the first reduction the price would become $5 and after the second reduction of   2*50= 
<gadget id="calculator">  2*50</gadget>
<output>100</output>
100% the rprice would become $0.   Now, since P is not zero, then the expression in the brackets must be zero for f=50. Only answer choice B works.   Answer: B.   On this problem - number pluggin is not giving me the answer.. I initially used f = 10, then 2f = 20 and P = 100. Answer should after both consecutive discounts = 72. I plug in the respective values and I keep getting 68. Can you double check my math.   100 (1-0.03(10) + 0.0002 (10)^2)   100 (1-0.3 + 0.0002 (100))   100 (0.7 + 0.02)   100 (0.68) = 68????   double check my math. Am I missing something? I also plugged in your numbers and still did not get zero as final answer with choice P(1 - 0.03f + 0.0002f^2)..
<result>B</result>
The original price of a certain TV set is discounted by f percent, and the reduced price is then discounted by 2f 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?