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

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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? A.$320
B. $540 C.$560
D. $620 E.$680

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

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Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? A.$320
B. $540 C.$560
D. $620 E.$680

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.

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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
pushpitkc niks18 Hatakekakashi
amanvermagmat Bunuel chetan2u

Quote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? Any significance of highlighted text? We are already given that she bought total 11 doors in first sentence. VP Joined: 07 Jan 2016 Posts: 1248 Own Kudos [?]: 466 [1] Given Kudos: 126 Location: United States (MO) GMAT 1: 710 Q49 V36 Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink] 1 Kudos adkikani wrote: pushpitkc niks18 Hatakekakashi amanvermagmat Bunuel chetan2u Quote: Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was$40, what was the total price of all 11 doors?

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

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

Posted from my mobile device
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? A.$320
B. $540 C.$560
D. $620 E.$680

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.
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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?
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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.
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? A.$320
B. $540 C.$560
D. $620 E.$680

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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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Video solution from Quant Reasoning:
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
AbdurRakib wrote:
Cheryl purchased 5 identical hollow pine doors and 6 identical solid oak doors for the house she is building. The regular price of each solid oak door was twice the regular price of each hollow pine door. However, Cheryl was given a discount of 25% off the regular price of each solid oak door. If the regular price of each hollow pine door was $40, what was the total price of all 11 doors? A.$320
B. $540 C.$560
D. $620 E.$680

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
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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))
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
larai wrote:
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?

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.
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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
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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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.
Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink]
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