Cheryl purchased 5 identical hollow pine doors and 6 identical solid o

Question

Cheryl purchased 5 identical hollow pine doors, and 6 identical hollow oak doors.

Let the cost of pine door be x.
Since the price of the oak door is twice the price of the pine door, the cost is 2x.
Since she gets a discount of 25% on the oak door,
she would have to pay 75% of the cost, which is $\frac{3}{4}*2x = 1.5x$

Since the cost of pine door is 40$, the cost of the oak door is 60$

Therefore, the total cost of the 11 doors is $5*40 + 6*60 = 200 + 360 = $560$(Option C)

A. $320
 B. $540
 C. $560
 D. $620
 E. $680

pushpitkc · Accepted Answer

Cheryl purchased 5 identical hollow pine doors, and 6 identical hollow oak doors.

Let the cost of pine door be x.
Since the price of the oak door is twice the price of the pine door, the cost is 2x.
Since she gets a discount of 25% on the oak door, 
she would have to pay 75% of the cost, which is  \frac{3}{4}*2x = 1.5x

Since the cost of pine door is 40$, the cost of the oak door is 60$

Therefore, the total cost of the 11 doors is  5*40 + 6*60 = 200 + 360 = $560  (Option C)

sashiim20 · Answer

Given price of pine door  = $40

Number of pine doors  = 5

Total price of pine doors purchased  = 5 * 40 = $200

Price of oak door = twice the price of pine door  = 2 * 40 = $80

Cheryl was given 25% discount on oak doors = 75% of 80  = \frac{75}{100} * 80 = $60

Number of oak doors  = 6

Total price of oak doors purchased  = 60* 6 = 360

Total price of all 11 doors  = 200 + 360 = $560 . Answer (C) ...

akshayk · Answer

Pine Doors = $ x = $40
Oak Doors = $ 2x = $80
25% discount given on regular price of oak doors.
=> Oak Doors = $ 1.75x = $60

Total Price = 5*40 + 60*6 = 560

C is the answer.

ScottTargetTestPrep · Answer

Since the regular price of each hollow pine door = 40 dollars, the regular price of each solid oak door is (2)(40) = 80 dollars.

With a 25% discount, each solid oak door is sold for 0.75(80) = 60 dollars.

So, the six oak doors cost 6 x 60 = 360 dollars, and the five pine doors cost 5 x 40 = 200 dollars. Thus, the total is 560 dollars.

Answer: C

adkikani · Answer

pushpitkc   niks18   Hatakekakashi 
 amanvermagmat   Bunuel   chetan2u

Any significance of highlighted text?
We are already given that she bought total 11 doors in first sentence.

Hatakekakashi · Answer

There's no significance as you've correctly identified that 11 doors were sold acc to the first sentence

Posted from my mobile device

LMP · Answer

Not a lot to say about this question; 5 pine doors, each of which costing $X;

6 oak doors, each of which costing twice, so $2X; but there's a discount, that's one.

Two, this is actually $40, so 2X is going to be $80.

Obviously, if we subtract 25% we need to know these common percents by heart, that's 1/4,

so if we subtract 1/4 of 80, we're left with 60, so $60 times 6 doors,

$40 times 5 and doors, that is a 200 plus a 360, the total cost is going to be 560,

and the correct answer is C.

larai · Answer

Why is it not possible to do: 2-0.25 = 1.75 * 40? = 70
2 because it is double and then 25% is subtracted = 1.75
What am I wrong?

abs8 · Answer

Given relation,O=2P. Therefore, O=80. Now, given a discount of 25% on O, new price of O=60. Therefore total price, O+P=(60x6)+(40x5)=560.

GMATinsight · Answer

Answer: Option C

Video solution by  GMATinsight

https://www.youtube.com/watch?v=KT69JrvKHjE

avigutman · Answer

Video solution from Quant Reasoning: Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1 https://www.youtube.com/watch?v=E47Y4jsQe30

Crytiocanalyst · Answer

it's just a straight forward sum 
pine door price =40 
oak door price =80 with discount = 60

total price = 6*60+40*5 
=>560 therefore IMO C

Sneha2021 · Answer

We can reject A, E easily

Pine = 40*5 = 200, so Oak is definitely greater than 200
Total = 200 + (greater than 200) = 400+ (reject A - 320)

For E, 680 = 200 + O*6
480 = O*6 
O = 80 (not possible O<80))

BLTN · Answer

Dear  larai ,
when you take off the discount, you either deduct discount from the whole: 40 - 40*1/4 = 30 or reduce this equation to 40*3/4 = 30.

In your case you subtracted not a Percent from the whole (2 - 2*1/4 = 1.5) but unknown fraction from the whole 2-1/4 = 1.75

Hope it helps.

100mitra · Answer

Solve it while you read it 
 
Cheryl purchased 
(1) 5 identical Hollow Pine Doors 
(2) If the regular price of each Hollow Pine Doors was $40 / door
 From (1) and (2) = 5 * $40 = $200  ---- (b)

(3) 6 identical solid oak doors for the house she is building. 
(4) The regular price of each Solid Oak Door was twice the regular price of each Hollow Pine Door.
From (3) and (4) =  Solid Oak Door = 2 * Hallow Pine Door  = 2 * 40 =  $80

(5) Cheryl was given a discount of 25% off the regular price of each solid oak door. 
 From (5) = $80*(100% - 25%) = $80*75% = $60  / door-----(a)

What was the total price of all 11 doors - 
From (a) and (b) 
= 5*$40 + 6*$60 
= $200 + $360 
= $560

Option C

Akhilesh38 · Answer

We're told that Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors. The REGULAR price of each solid oak door was TWICE the REGULAR price of each hollow pine door, but Cheryl was given a discount of 25% off the regular price of each solid oak door. The regular price of each hollow pine door was $40. We're asked for the total price of all 11 doors.

As wordy as this prompt is, solving it really comes down to just organizing the given information and doing a bit of arithmetic...

To answer this question, we need to determine the price of the two types of doors:
Regular price of hollow pine door = $40
Regular price of solid oak door = (2)($40) = $80
Discount price of solid oak door = $80 - (.25)($80) = $60

Now that we have the prices, we can figure out the total:
5($40) + 6($60) = $200 + $360 = $560

ArnauG · Answer

Let's start by finding the regular price of each solid oak door. We know that it is twice the regular price of each hollow pine door, which is $40. Therefore, the regular price of each solid oak door is:

$40 x 2 = $80

Now let's calculate the discount that Cheryl received on each solid oak door:

25% of $80 = $20

This means that Cheryl paid:

$80 - $20 = $60

for each solid oak door.

Cheryl purchased 6 solid oak doors, so the total cost of the solid oak doors was:

6 x $60 = $360

Cheryl also purchased 5 hollow pine doors, each of which cost $40, so the total cost of the hollow pine doors was:

5 x $40 = $200

Therefore, the total cost of all 11 doors was:

$360 + $200 = $560

So the answer is option C, $560.

cryuss · Answer

Here's a Quicker method 
No. of pine door =  5 , No. of oak door =  6 
Price of each pine door   $40  
Price of each oak door $80 X  \frac{3}{4}  =  $60   (75% of the price as 25% off given) (as price of solid oak door was twice price of hollow pine door )

Price of pine doors $40 X 5 =   $200  
Price of oak door $60 X 6 =   $360

$360+ $200 = $560 
  Answer is Option C. $560

bumpbot · Answer

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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o

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