Target Test Prep's 2024 GMAT Focus Edition prep is discounted for the BTG community!

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

GMAT PREP Question, PLEASE HELP to solve!!

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 31
Joined: Fri Jul 30, 2010 9:39 pm

GMAT PREP Question, PLEASE HELP to solve!!

by mustbeatgmat » Tue Aug 03, 2010 5:38 pm
These are 2 questions i couldnt seem to figure out. please help if u can! thanks :)

#1) If (1/5)^m (1/4)^18= 1/2(10)^35, what is m?


("^" means to the power of) so its 1/5 to the power of m, multiplied by 1/4 to the 18th, which equals 1/2(10) to the 35th.

The answer is 35. Just wasnt sure how they came to that conclusion??

#2) A retailer sold an appliance for $80. If the net gross profit was 25 percent of the retailers cost for the appliance, how many dollars was the retailers gross profit?

The answer is 16. I though i could simply mulitply $80 by .25 and have my answer, but that is incorrect.

PLEASE HELP!!!! thank you again!!
Top
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Tue Aug 03, 2010 6:44 pm
(1/5)^m (1/4)^18= 1/2(10)^35

(1/5)^m (1/2^2)^18=1/2(2*5)^35

(1/5)^m (1/2)^36=1/2(2^35*5^35)

(1/5^m) *(1/2^36)=1/2^36*.1/5^35

Comparing exponents on both sides,we get m=35
--Anand--
Top
User avatar
Legendary Member
Posts: 1460
Joined: Tue Dec 29, 2009 1:28 am
Thanked: 135 times
Followed by:7 members

by selango » Tue Aug 03, 2010 6:47 pm
SP=80

Profit=25/100*CP

Profit=SP-CP

25/100*CP=80-CP

CP[1+1/4]=80

CP[5/4]=80

CP=64

Profit=SP-CP=80-64=16

Hope this clarify.
--Anand--
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pm
Location: Milpitas, CA
Thanked: 447 times
Followed by:88 members

by Rahul@gurome » Tue Aug 03, 2010 6:58 pm
Cost price is (100/125)*80 = 64.

So profit in dollars is 80 - 64 = 16 or 25% of 64 = 16.

Note that profit in dollars is (%profit * cost price). What you have taken wrongly is (%profit*selling price).
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Senior | Next Rank: 100 Posts
Posts: 31
Joined: Fri Jul 30, 2010 9:39 pm

by mustbeatgmat » Tue Aug 03, 2010 7:26 pm
thank you for the help!
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 7294
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

Re: GMAT PREP Question, PLEASE HELP to solve!!

by Scott@TargetTestPrep » Thu Jul 02, 2020 3:25 pm
mustbeatgmat wrote: ↑
Tue Aug 03, 2010 5:38 pm
 These are 2 questions i couldnt seem to figure out. please help if u can! thanks :)

#1) If (1/5)^m (1/4)^18= 1/2(10)^35, what is m?


("^" means to the power of) so its 1/5 to the power of m, multiplied by 1/4 to the 18th, which equals 1/2(10) to the 35th.

The answer is 35. Just wasnt sure how they came to that conclusion??

#2) A retailer sold an appliance for $80. If the net gross profit was 25 percent of the retailers cost for the appliance, how many dollars was the retailers gross profit?

The answer is 16. I though i could simply mulitply $80 by .25 and have my answer, but that is incorrect.

PLEASE HELP!!!! thank you again!!
Solution:

We can let x = the retailer's cost for the appliance and create the equation:

x + 0.25x = 80

1.25x = 80

x = 80/1.25 = 64

The cost of the appliance was $64. Therefore, the profit is 0.25(64) = $16.

Answer: B

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage
Top
Post new topic Post Reply
• Page 1 of 1