Last visit was: 12 Dec 2024, 04:49 It is currently 12 Dec 2024, 04:49
Close
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
Your Progress

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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 12 Dec 2024
Posts: 97,842
Own Kudos:
685,244
 [7]
Given Kudos: 88,254
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 97,842
Kudos: 685,244
 [7]
Kudos
Add Kudos
7
Bookmarks
Bookmark this Post
User avatar
blueviper
Joined: 16 Jan 2018
Last visit: 01 Nov 2022
Posts: 82
Own Kudos:
Given Kudos: 100
Location: New Zealand
Posts: 82
Kudos: 155
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 10 Dec 2024
Posts: 11,434
Own Kudos:
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert reply
Posts: 11,434
Kudos: 37,980
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
hudacse6
Joined: 16 Dec 2018
Last visit: 20 Sep 2024
Posts: 59
Own Kudos:
Given Kudos: 48
Posts: 59
Kudos: 106
Kudos
Add Kudos
Bookmarks
Bookmark this Post
chetan2u
hudacse6
Randi sells forklifts at a dealership where she makes a base salary of $2,000 per month, plus a commission equal to 5% of the selling price of the first 10 forklifts she sells that month, and 10% of the value of the selling price of any forklifts after that. If all forklifts have the same sale price, s, which of the choices below represents Randi’s monthly pay, P, as a function of the number of forklifts sold, f, in months in which she sells more than 10 forklifts? (Assume Randi’s pay is made up entirely of base salary and commission, and no deductions are taken from this pay.)

(A) P = 2,000 + 0.05sf + 0.10sf
(B) P = 2,000 + 0.05sf + 0.10s(f – 10)
(C) P = 2,000 + 0.05s + 0.10s(f – 10)
(D) P = 2,000 + 0.5s + 0.10sf – 10
(E) P = 2,000 + 0.5s + 0.10s(f – 10)

selling price = s, and total forklifts sold - f
So, three items..
(I) A base salary of $2,000 per month, ----2000
(II) A commission equal to 5% of the selling price of the first 10 forklifts she sells that month, ----\(\frac{5}{100}*10*s=0.5s\)
(III) A commission equal to 10% of the value of the selling price of any forklifts after that, so (f-10) forklifts.----\(\frac{10}{100}*(f-10)*s=0.10s(f-10)\)

Total = P = 2,000 + 0.5s + 0.10s(f – 10)

E

1st: and total forklifts sold - f >>> is this minus f or only f?
2nd: A commission equal to 5% of the selling price of the first 10 forklifts she sells that month -------so why not 0.5sf whereas we are going sell forklifts means f.?
User avatar
chetan2u
User avatar
RC & DI Moderator
Joined: 02 Aug 2009
Last visit: 10 Dec 2024
Posts: 11,434
Own Kudos:
Given Kudos: 333
Status:Math and DI Expert
Products:
Expert reply
Posts: 11,434
Kudos: 37,980
Kudos
Add Kudos
Bookmarks
Bookmark this Post
hudacse6
chetan2u
hudacse6
Randi sells forklifts at a dealership where she makes a base salary of $2,000 per month, plus a commission equal to 5% of the selling price of the first 10 forklifts she sells that month, and 10% of the value of the selling price of any forklifts after that. If all forklifts have the same sale price, s, which of the choices below represents Randi’s monthly pay, P, as a function of the number of forklifts sold, f, in months in which she sells more than 10 forklifts? (Assume Randi’s pay is made up entirely of base salary and commission, and no deductions are taken from this pay.)

(A) P = 2,000 + 0.05sf + 0.10sf
(B) P = 2,000 + 0.05sf + 0.10s(f – 10)
(C) P = 2,000 + 0.05s + 0.10s(f – 10)
(D) P = 2,000 + 0.5s + 0.10sf – 10
(E) P = 2,000 + 0.5s + 0.10s(f – 10)

selling price = s, and total forklifts sold - f
So, three items..
(I) A base salary of $2,000 per month, ----2000
(II) A commission equal to 5% of the selling price of the first 10 forklifts she sells that month, ----\(\frac{5}{100}*10*s=0.5s\)
(III) A commission equal to 10% of the value of the selling price of any forklifts after that, so (f-10) forklifts.----\(\frac{10}{100}*(f-10)*s=0.10s(f-10)\)

Total = P = 2,000 + 0.5s + 0.10s(f – 10)

E

1st: and total forklifts sold - f >>> is this minus f or only f?
2nd: A commission equal to 5% of the selling price of the first 10 forklifts she sells that month -------so why not 0.5sf whereas we are going sell forklifts means f.?

! : it is f forklifts...only f
2nd : 5% is for first 10 forklift, si whatever be the number of forklifts, the first 10 are sold at profit of 5% and the rest, that is f-10, are sold at 10% profit..
For the first 10 forklifts, the total, f, does not matter and does not come into play till the time f>10. If f<10, then only commission would be 5%.

In 0.5s, you have already taken as the number of forklift as 10, you cannot multiply that with another number f.
User avatar
GmatPoint
Joined: 02 Jan 2022
Last visit: 13 Oct 2022
Posts: 256
Own Kudos:
Given Kudos: 3
GMAT 1: 760 Q50 V42
GMAT 1: 760 Q50 V42
Posts: 256
Kudos: 115
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let the selling price of the forklifts be s and the total forklifts sold be f.

For the first 10 forklifts, the commission will be 0.05*10*s = 0.5s

For the next f-10 forklifts, the commission will be 0.10*s*(f-10)

Thus, Randi’s monthly pay, P = 2,000 + 0.5s + 0.10s(f-10)

The correct option is E.
Moderator:
Math Expert
97842 posts