clarkkent0610 wrote:

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?

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)

Question Code is QPS05959

Simply plug in:

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 = 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)

B: P(1 - 0.03x + 0.0002x^2) = 100 (1 - 0.3 + 0.02) = 100 (1 - 0.28) = 72 (BINGO!) (Lets 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 B

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