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08 Feb 2020, 06:26
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
85% (01:32) correct
15%
(00:46)
wrong
based on 13
sessions
History
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A retailer sold X pieces of the gaming station at an average price of $445. Later, he sold Y pieces of the gaming station at an average price of $425. What was the average price of X+Y pieces of gaming station?
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
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08 Feb 2020, 07:30
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rheam25
A retailer sold X pieces of the gaming station at an average price of $445. Later, he sold Y pieces of the gaming station at an average price of $425. What was the average price of X+Y pieces of gaming station?
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
The average price of x+y pieces = (445x + 425y)/(x+y)
To find the average price we need either values of x and y or x in terms of y
Statement 1: Y = X/2
SUFFICIENT
Statement 2: Total pieces of the gaming station sold = 50
NOT SUFFICIENT
Answer: Option A
08 Feb 2020, 11:51
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rheam25
A retailer sold X pieces of the gaming station at an average price of $445. Later, he sold Y pieces of the gaming station at an average price of $425. What was the average price of X+Y pieces of gaming station?
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
(1) Y = X/2
(2) Total pieces of the gaming station sold = 50
Solution
Step 1: Analyse Question Stem
- • X pieces of gaming station were sold at an average $ 445
- o The total price of X pieces of gaming station = $ X*445
- o The total price of Y pieces of gaming station = $ Y*425
• We need to find the average price of X+Y pieces of gaming station i.e. \(\frac{(X*445+Y*425)}{X+Y} ………. Eq.(i) \)
- o alternately, we need to find the value of X and Y or the ratio of X and Y to find the value of Eq.(i)
Step 2: Analyse Statements Independently (And eliminate options) – AD/BCE
Statement 1: \(Y = X/2\)
- • Substituting \(Y=\frac{X}{2}\) in Eq.(i), we get,
- o Required average = \(\frac{X*(445 +425*0.5) }{X(1+ 0.5)} = \frac{2}{3} *( 445 + \frac{425}{2})\)
Statement 2: Total pieces of the gaming station sold = 50
- • From this statement we cannot find the value of X and Y, therefore we cannot find the value of average price.
• Hence, statement 2 is not sufficient and we can eliminate answer D.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
