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Math Expert V
Joined: 02 Sep 2009
Posts: 60459
A company bought 3 printers and 1 scanner. What was the price of the  [#permalink]

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1 00:00

Difficulty:   5% (low)

Question Stats: 93% (00:34) correct 7% (00:41) wrong based on 701 sessions

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A company bought 3 printers and 1 scanner. What was the price of the scanner ?

(1) The total price of the printers and the scanner was $1,300. (2) The price of each printer was 4 times the price of the scanner. NEW question from GMAT® Official Guide 2019 (DS12265) _________________ Manager  P Joined: 01 Aug 2017 Posts: 220 Location: India Concentration: General Management, Leadership GMAT 1: 500 Q47 V15 GPA: 3.4 WE: Information Technology (Computer Software) Re: A company bought 3 printers and 1 scanner. What was the price of the [#permalink] ### Show Tags 1 Bunuel wrote: A company bought 3 printers and 1 scanner. What was the price of the scanner ? (1) The total price of the printers and the scanner was$1,300.

(2) The price of each printer was 4 times the price of the scanner.

NEW question from GMAT® Official Guide 2019

(DS12265)

Let the price of each printer be x.
and price of each scanner be y.

FOR 3 printer & 1 scanner , Total Price = 3x + y

Statement 1 :- The total price of the printers and the scanner was $1,300. So $$3x + y = 1300$$ We have only one equation. We can't get unique value of y. Hence insufficient. Statement 2 :- The price of each printer was 4 times the price of the scanner. This is : $$x = 4y$$ This is also insufficient to find the price of the scanner. Statement 1 and Statement 2 :- Gives us two equation. $$3x + y = 1300$$ and $$x = 4y$$ Solving this would give us the price of the scanner. Ans - C e-GMAT Representative V Joined: 04 Jan 2015 Posts: 3203 Re: A company bought 3 printers and 1 scanner. What was the price of the [#permalink] ### Show Tags Solution Given: • A company bought 3 printers and 1 scanner To find: • The price of the scanner Analysing Statement 1 • As per the information given in statement 1, the total price of the printers and the scanner was$1300
o From this statement, we can’t find out the individual price of a scanner

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information given in statement 2, the price of each printer was 4 times the price of scanner
• If we assume the price of the scanner to be p, then price of each printer will be 4p
o Hence, total cost of 3 printers and 1 scanner = 3 * 4p + p = 13p
• But we don’t know the value of 13p

Hence, statement 2 is not sufficient to answer

Combining Both Statements
If we combine the data from both the statements, we can say:
• 13p = 1300

From this we can find out the value of p

Hence, the correct answer is option C.

_________________
GMAT Club Legend  V
Joined: 12 Sep 2015
Posts: 4214
A company bought 3 printers and 1 scanner. What was the price of the  [#permalink]

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Bunuel wrote:
A company bought 3 printers and 1 scanner. What was the price of the scanner ?

(1) The total price of the printers and the scanner was $1,300. (2) The price of each printer was 4 times the price of the scanner. Let P = price of ONE printer Let S = price of ONE scanner Target question: What is the value of S? Statement 1: The total price of the (3) printers and the (1) scanner was$1,300.
So, we can write: 3P + S = 1300
Does this provide enough information to determine the value of S?
No.
There are several cases that satisfy statement 1. Here are two:
Case a: P = 400 and S = 100. Notice that these values meet the condition that 3P + S = 1300. In this case, the answer to the target question is S = 100
Case b: P = 300 and S = 400. Notice that these values meet the condition that 3P + S = 1300. In this case, the answer to the target question is S = 400
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: The price of each printer was 4 times the price of the scanner.
So, we can write: P = 4S
There are several cases that satisfy statement 2. Here are two:
Case a: P = 400 and S = 100. Notice that these values meet the condition that P = 4S. In this case, the answer to the target question is S = 100
Case b: P = 800 and S = 200. Notice that these values meet the condition that P = 4S. In this case, the answer to the target question is S = 200
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Statements 1 and 2 combined
Statement 1 tells us that 3P + S = 1300
Statement 2 tells us that P = 4S
Since we COULD solve this system of equations for P and S, we COULD answer the target question (although we would NEVER waste our valuable time actually solving the system on test day.)
Since we COULD answer the target question with certainty, the combined statements are SUFFICIENT

ASIDE: If we solve the system, we get P = $400 and S =$100

Cheers,
Brent
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Non-Human User Joined: 09 Sep 2013
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Re: A company bought 3 printers and 1 scanner. What was the price of the  [#permalink]

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