GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 22 Sep 2019, 01:04 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # A legal service bills p dollars for the first hour of service on a tas

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 58105
A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags 00:00

Difficulty:   55% (hard)

Question Stats: 60% (02:44) correct 40% (02:27) wrong based on 42 sessions

### HideShow timer Statistics

A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

_________________
Intern  S
Joined: 12 Aug 2017
Posts: 42
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

1
1 Task : p + (h-1)q amount shall be charged ........... (i)

N tasks & H hrs. of service: Each task will be of (h/n) hrs. of service -> n(p+((h/n) - 1)q) amount shall be charged ..... (ii)

(ii) - (i) = pn+hq-nq - p - hq + q = pn-qn - (p-q) = (p-q)(n-1) dollars => amount shall increase => C ans.
_________________
The key is not the will to win, it's the will to prepare to win that is important !!
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4782
Location: India
Concentration: Sustainability, Marketing
Schools: INSEAD, HEC '22, IIM
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

i solved using values for p,q,h and n
p=2 \$ , q = 1 \$ , h = 4 hrs and n = 2 as its simple to divide 4 by 2

so nominal charge for 1 session would have been ; ( p+(h-1)*q) ; 2+(4-1)*1 ; 2+3 ;5\$
but now we are having n sessions i.e 2 ;
so h/n ; 4/2 ; 2 so h would be 2 now
charges would be ; 2+(2-1)*1 ; 3 \$ + 2+(2-1)*1 ; 3\$ ; total cost 6\$
effectively price of session would go up by 1 \$
which is given as per expression
It increases by (n - 1)(p - q) dollars
i.e ( 2-1)*(2-1) ; 1*1 ; 1 \$
IMO C

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager  B
Joined: 20 Jul 2012
Posts: 118
GMAT 1: 650 Q47 V33 Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

Amount billed initially with just one task in h hours : p + (h-1)q

If the task is divided in n tasks, assuming each task will take h/n hours.
So, for one task, amount billed : p+ (h/n -1)q
Total amount billed for n tasks together : np + nq(h/n-1)
= np +q(h-n)

Extra billing which has to be paid : np + q(h-n) - p - (h-1)q
= (n-1)p + q(h-n-h+1)
= (n-1)p -q(n-1)
= (n-1)(p-q)
Hence C.
Intern  B
Joined: 12 Jan 2019
Posts: 29
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

Archit3110 wrote:
i solved using values for p,q,h and n
p=2 \$ , q = 1 \$ , h = 4 hrs and n = 2 as its simple to divide 4 by 2

so nominal charge for 1 session would have been ; ( p+(h-1)*q) ; 2+(4-1)*1 ; 2+3 ;5\$
but now we are having n sessions i.e 2 ;
so h/n ; 4/2 ; 2 so h would be 2 now
charges would be ; 2+(2-1)*1 ; 3 \$ + 2+(2-1)*1 ; 3\$ ; total cost 6\$
effectively price of session would go up by 1 \$
which is given as per expression
It increases by (n - 1)(p - q) dollars
i.e ( 2-1)*(2-1) ; 1*1 ; 1 \$
IMO C

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

Hey Archit3110

How reliable is this method

Lets say if i take p=10 q=5 and h=4 & n=2

after solving everything
10+5(3) = 25 ----- I

10+5(1) AND 10+5(1) = I.E 15+15 = 30 ----- II

difference between I and II is 5
both p-q
(n-1)(p-q)
will be equal to 5
and trying again with a different number will again consume a lot of time so how do we choose exact numbers so that we don't make such a mistake???
SVP  P
Joined: 03 Jun 2019
Posts: 1540
Location: India
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

Given: A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q.

Asked: If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

Bill amount for the whole work (A)= p + (h-1)q
Bill amount for the broken up work (B)= np + (h-n)q

Difference (B-A) = np + (h-n)q - p - (h-1)q = (n-1)p - (n-1)q = (n-1)(p-q)

IMO C
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 4782
Location: India
Concentration: Sustainability, Marketing
Schools: INSEAD, HEC '22, IIM
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

Nums99
well you got to use smart no. i.e use no which are easy to do calculation with .. on actual test you wont have the luxury of time as you have while now practising..
if you have understood the question well , then you can plugin/ substitute no which according to you would get you to correct answer.. one of the best way is to use the given answer choices and do plugin values to see whether your answer is correct or not ..

Nums99 wrote:
Archit3110 wrote:
i solved using values for p,q,h and n
p=2 \$ , q = 1 \$ , h = 4 hrs and n = 2 as its simple to divide 4 by 2

so nominal charge for 1 session would have been ; ( p+(h-1)*q) ; 2+(4-1)*1 ; 2+3 ;5\$
but now we are having n sessions i.e 2 ;
so h/n ; 4/2 ; 2 so h would be 2 now
charges would be ; 2+(2-1)*1 ; 3 \$ + 2+(2-1)*1 ; 3\$ ; total cost 6\$
effectively price of session would go up by 1 \$
which is given as per expression
It increases by (n - 1)(p - q) dollars
i.e ( 2-1)*(2-1) ; 1*1 ; 1 \$
IMO C

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

Hey Archit3110

How reliable is this method

Lets say if i take p=10 q=5 and h=4 & n=2

after solving everything
10+5(3) = 25 ----- I

10+5(1) AND 10+5(1) = I.E 15+15 = 30 ----- II

difference between I and II is 5
both p-q
(n-1)(p-q)
will be equal to 5
and trying again with a different number will again consume a lot of time so how do we choose exact numbers so that we don't make such a mistake???

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7771
Location: United States (CA)
Re: A legal service bills p dollars for the first hour of service on a tas  [#permalink]

### Show Tags

Bunuel wrote:
A legal service bills p dollars for the first hour of service on a task and q dollars for each additional hour, where p > q. If the client requires a specific number of hours h of service, how does the amount billed to the client change if the work is broken up into n tasks rather than one task?

A. It increases by p - q dollars

B. It increases by h(p - q)dollars

C. It increases by (n - 1)(p - q) dollars

D. It decreases by (h - 1)(p - q) dollars

E. It decreases by n(p - q) dollars

We can let p = 5, q = 2, h = 7 and n = 3. Furthermore, let’s say that the 3 tasks last 2, 2, and 3 hours, respectively.

Therefore, as one task, the total amount billed would be:

5 + 2(7 - 1) = 5 + 12 = 17 dollars

However, as three tasks, the total amount billed would be:

[5 + 2(2 - 1)] + [5 + 2(2 - 1)] + [5 + 2(3 - 1)] = 7 + 7 + 9 = 23 dollars.

We see that the total amount billed would increase by 6 dollars (and we can reject choices D and E). Let’s look at the other 3 choices.

A. p - q = 5 - 2 = 3 → This is not 6.

B. h(p - q) = 7(5 - 2) = 21 → This is not 6.

C. (n - 1)(p - q) = (3 - 1)(5 - 2) = 6 → This is 6.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: A legal service bills p dollars for the first hour of service on a tas   [#permalink] 25 Aug 2019, 18:36
Display posts from previous: Sort by

# A legal service bills p dollars for the first hour of service on a tas

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne  