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06 Dec 2013, 09:00
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
61% (02:42) correct
39%
(03:03)
wrong
based on 288
sessions
History
Date
Time
Result
Not Attempted Yet
The total price of a basic TV and a TV stand was $1,500. If the same TV had been purchased with a next generation 3D TV whose price was $2,000 more than the price of the basic TV, then the price of the TV stand would have been one eighth of that total. What was the price of the basic TV?
(A) $900
(B) $1,000
(C) $1,100
(D) $1,200
(E) $1,300
(A) $900
(B) $1,000
(C) $1,100
(D) $1,200
(E) $1,300
06 Dec 2013, 11:30
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tusharGupta1
Dear tusharGupta1,
I'm happy to help. This is an intriguing question.
Let's say
T = price of basic TV
S = price of TV stand
The first sentence tells us
S + T = 1500 equation #1
I am assuming that the purchase in the second sentence also involves a TV stand of the same price. If that is true, the second sentence tell us
3D TV price = T + 2000
and
S = 1/8(S + 3D TV price) = 1/8(S + T + 2000)
8S = S + T + 2000
7S = T + 2000 equation #2
Solve equation #1 for S and multiply by 7:
S = 1500 - T
7S = 10500 - 7T
Set this equal to equation #2
10500 - 7T = T + 2000
12500 = 8T
T = 12500/8 = $1562.50
Something is funky about this question. Obviously, this answer is not among the choices. Even if a TV stand is not included in the second purchase, I don't believe that rectifies anything. I think there's a problem here.
Mike
General Discussion
06 Dec 2013, 12:40
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Hi Mike,
I also found an issue with the question, however somebody did calculation like below which is hard to believe..
Let's assume the following:
Price of Basic TV = B
Price of TV Stand = T
Price of Next generation TV stand = N
According to the given information
T+B = 1500
N = B+2000 and
T = (N+B)/8
So,
T = (2B+2000)/8 , we also have T+B = 1500
which makes, (2B+2000)/8 + B = 1500
Solving for B would give us the value of B as 1000.
The correct answer is option (B).
Tushar Gupta
I also found an issue with the question, however somebody did calculation like below which is hard to believe..
Let's assume the following:
Price of Basic TV = B
Price of TV Stand = T
Price of Next generation TV stand = N
According to the given information
T+B = 1500
N = B+2000 and
T = (N+B)/8
So,
T = (2B+2000)/8 , we also have T+B = 1500
which makes, (2B+2000)/8 + B = 1500
Solving for B would give us the value of B as 1000.
The correct answer is option (B).
Tushar Gupta
