Need a faster way to solve this one

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 28
Joined: Mon Oct 10, 2016 5:38 pm

Need a faster way to solve this one

by fambrini » Tue Oct 25, 2016 4:54 pm
EDIT: I'm sorry. Just realized this question was discussed here https://www.beatthegmat.com/interesting- ... tml#724362

A certain business produced x rakes each month from November through February and shipped x/2 rakes at the beginning of each month from March to October. The business paid no storage costs for the rakes from November through February, but it paid storage costs if $0.10 per rake each month from March to October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?

A) $0.40x
B) $1.20x
C) $1.40x
D) $1.60x
E) $3.20x

OA: C

I was able to solve this by adding up the sum of 10% of each part monthly. Can someone help me to find a quicker way to solve this?

Thanks,
Fambrini

GMAT/MBA Expert

User avatar
Elite Legendary Member
Posts: 10392
Joined: Sun Jun 23, 2013 6:38 pm
Location: Palo Alto, CA
Thanked: 2867 times
Followed by:511 members
GMAT Score:800

by [email protected] » Tue Oct 25, 2016 4:56 pm
Hi fambrini,

This question was discussed here:

https://www.beatthegmat.com/interesting- ... 77804.html

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image

Junior | Next Rank: 30 Posts
Posts: 28
Joined: Mon Oct 10, 2016 5:38 pm

by fambrini » Tue Oct 25, 2016 5:07 pm
Thanks! I've just realized this as well.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 16207
Joined: Mon Dec 08, 2008 6:26 pm
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

by Brent@GMATPrepNow » Wed Oct 26, 2016 8:21 am
A certain business produced x rakes each month from November through February and shipped x/2 rakes at the beginning of each month from March through October. The business paid no storage costs for the rakes from November to February, but it paid storage costs of 0.10$ per rake each month from March through October for the rakes that had not been shipped. In terms of x, what was the total storage cost, in dollars, that the business paid for the rakes for the 12 months from November through October?

A) 0.40x
B) 1.20x
C) 1.40x
D) 1.60x
E) 3.20x
In the 4 months leading up to March, the company PRODUCES 4x rakes (4 months at x/month = 4x)

On March 1, x/2 rakes are SHIPPED, leaving 3.5x rakes for which the company must pay storage fees.
On April 1, x/2 rakes are SHIPPED, leaving 3x rakes for which the company must pay storage fees.
On May 1, x/2 rakes are SHIPPED, leaving 2.5x rakes for which the company must pay storage fees.
etc... (this pattern continues until no rakes remain).

The total NUMBER of rakes (for which storage fees are paid) = 3.5x + 3x + 2.5x . . . + 1x + 0.5x
= 14x

The charge is $0.1/rake, so the total FEE = (0.1)(14x) = [spoiler]1.4x = C[/spoiler]

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
Image