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

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

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17 Jun 2017, 11:25
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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
[Reveal] Spoiler: OA

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

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17 Jun 2017, 11:35
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 3/4*2x = 1.5x

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

Since we have to find out the cost of 5 pine doors and 6 oak doors,
the total cost is 5*40 + 6*60 = 200 + 360 = $560(Option C) _________________ Stay hungry, Stay foolish 2017-2018 MBA Deadlines Class of 2020: Rotman Thread | Schulich Thread Class of 2019: Sauder Thread Kudos [?]: 599 [0], given: 16 Director Joined: 04 Dec 2015 Posts: 696 Kudos [?]: 304 [0], given: 261 Location: India Concentration: Technology, Strategy Schools: ISB '19, IIMA , IIMB, XLRI WE: Information Technology (Consulting) Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink] ### Show Tags 17 Jun 2017, 11:40 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 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) ... Kudos [?]: 304 [0], given: 261 Senior Manager Joined: 06 Jul 2016 Posts: 412 Kudos [?]: 118 [0], given: 99 Location: Singapore Concentration: Strategy, Finance Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o [#permalink] ### Show Tags 07 Aug 2017, 10:30 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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Re: Cheryl purchased 5 identical hollow pine doors and 6 identical solid o   [#permalink] 07 Aug 2017, 10:30
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