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A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and

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A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%
[Reveal] Spoiler: OA

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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


50 tshirts with at least 14 days’ notice = 50 + 50*4 = 50 + 200 = 250

50 tshirts with at least 5 days’ notice = 50 + 50 + (9+4)*50 = 750

by what percent is his charge greater than it would have been had he provided at least 14 days’ notice
= ((750-250)/250)*100 = (500*100)/250 =200%

Hence option B is correct
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 09 Mar 2017, 22:43
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


Hi VeritasPrepKarishma,

For a rush job, the company charges a surcharge of $1 per shirt per day (in addition to the original amount)
For instance,
13 days notice would be $5 per shirt i.e. (14-13) + 4 = 1 + 4 = 5
12 days would be $6 per shirt i.e. (14-12) + 4 = 2 + 4 = 6, etc.

so for 5 days notice the price of each tshirt will be (14-5) + 4(original amount) = 9 + 4 =13
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 10 Mar 2017, 23:43
0akshay0 wrote:
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


Hi VeritasPrepKarishma,

For a rush job, the company charges a surcharge of $1 per shirt per day (in addition to the original amount)
For instance,
13 days notice would be $5 per shirt i.e. (14-13) + 4 = 1 + 4 = 5
12 days would be $6 per shirt i.e. (14-12) + 4 = 2 + 4 = 6, etc.

so for 5 days notice the price of each tshirt will be (14-5) + 4(original amount) = 9 + 4 =13


Note that I am calculating the "EXTRA CHARGE" for the rush job. It will be in addition to the 250 calculated before (where $4 has been figured in)
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 15 Mar 2017, 15:17
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


The cost for purchasing 50 shirts with at least 14 days notice is:

50 + 4(50) = 250

For 5-day notice, which is 9 days fewer than 14-day notice, each shirt would then be charged $4 + $9 = $13. The $50 rush fee would also be added. Thus the cost for purchasing 50 shirts with 5 days’ notice is:

50 + 50 + 13(50) = 100 + 650 = 750

We can now determine the percentage change, using the formula percentage change = (new - old)/old x 100 percent:

(750 - 250)/250 x 100

500/250 x 100 = 2 x 100 = 200 percent

Answer: B
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 20 Mar 2017, 18:48
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


OFFICIAL SOLUTION



Let NC stand for New Charge and OC stand for Original Charge.
The question asks for the percent greater, which will be (NC-OC)/OC.

The OC will be "Set-Up Fee + Total Shirt Charges," or $50+($4∗50). The OC is $250.

The NC will be "New Set Up Fee + New Total Shirt Charges"

Since there is a $1 additional premium for each day less than 14 days, the per shirt charge for the rush delivery will be $4+(14−5)∗$1 or $13 per shirt.


The NC will be $100 + ($13∗50) or $750.

The NC is \(\frac{($750−250)}{$250}\) or \(\frac{$500}{$250}\) or 200% greater than the original.

Think Like the Testmaker: Read the Question Note that the NC is 300 of the original OF the original charge or answer choice E. On percentage questions, always be careful to read the final question carefully, as typically both the percentage greater/less than and percentage of will be both be answer choices.
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 14 Apr 2017, 22:23
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


I don't understand how customer orders 50 shirts 5 days prior to his desired pickup date translates into a "5 days' notice". I think it means that the order has to be completed 5 days before the standard 14 days period(hence, the word prior). Please explain, this question is easy but this translation is giving me hell.
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 14 Apr 2017, 23:50
ShashankDave wrote:
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


I don't understand how customer orders 50 shirts 5 days prior to his desired pickup date translates into a "5 days' notice". I think it means that the order has to be completed 5 days before the standard 14 days period(hence, the word prior). Please explain, this question is easy but this translation is giving me hell.

As per the example given.. if 1 day prior translates to 13 days..
=> 4+(14-13)1 = $5 as given in example within q itself..
Following the same, for 5 days prior to 14 would have been
=> 4+(14-5)1 = $9 instead of $13 as given in solution.. Pls correcte me if I am getting wrong here..

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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 14 Apr 2017, 23:56
Extra charges should have been...
50 (additional setup fee) + (5×1) 50 (5 days prior) = 300

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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 17 Apr 2017, 21:11
ShashankDave wrote:
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


I don't understand how customer orders 50 shirts 5 days prior to his desired pickup date translates into a "5 days' notice". I think it means that the order has to be completed 5 days before the standard 14 days period(hence, the word prior). Please explain, this question is easy but this translation is giving me hell.


At first, I have the same problem like you. Then, I realize that if the customer wants those shirt to get finished prior to the picked-up date, then the customer will be charged for 9-day for processing. Hence, the actual number of days that is less than the standard of 14-days is 9, not 5.
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and [#permalink]

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New post 17 Apr 2017, 21:54
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Expert's post
ShashankDave wrote:
VeritasPrepKarishma wrote:
Bunuel wrote:
A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and requires 14 days processing time. For a rush job, the company charges an additional $50 rush set-up fee, plus a surcharge of $1 per shirt per day (in addition to the original amount) for each day less than the standard 14-day processing time. (For instance, 13 days notice would be $5 per shirt, 12 days would be $6 per shirt, etc.)

If a customer orders 50 shirts 5 days prior to his desired pickup date, by what percent is his charge greater than it would have been had he provided at least 14 days’ notice?

A. 180%
B. 200%
C. 210%
D. 280%
E. 300%


Charge for 50 shirts with 14 days notice = 50 + 50*4 = 250

The customer gives a 5 day notice which means he wants her order 9 days before the 14 day processing time.

Extra Charges for the rush job = 9*1*50 + 50 = 500

Percentage by which his charge increases = (500/250) * 100 = 200%


I don't understand how customer orders 50 shirts 5 days prior to his desired pickup date translates into a "5 days' notice". I think it means that the order has to be completed 5 days before the standard 14 days period(hence, the word prior). Please explain, this question is easy but this translation is giving me hell.



Say, his desired pick up date for the order is 15th April.
He ordered 50 shirts 5 days prior to this date. So he ordered 50 shirts on 10th April. But according to normal processing time, the delivery date should have been 24th April (14 days after the order date). Since the order is required on 15th April, it is required 9 days prior.
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Re: A t-shirt company charges a flat $50 set-up fee plus $4 per shirt and   [#permalink] 17 Apr 2017, 21:54
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