This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 253
Joined: 26 Dec 2008
Thanked: 8 times
Followed by:1 members

Solve for S1

by BlindVision » Fri Apr 06, 2012 9:43 pm
Please show me how to get the answer for S1:

S1 = $5,850 + [10% x ($8,250 + 40% x S1)]

S1 = [spoiler]$6,953.13[/spoiler]
Life is a Test

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: 02 Apr 2010
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Fri Apr 06, 2012 9:50 pm
BlindVision wrote:Please show me how to get the answer for S1:

S1 = $5,850 = [10% x ($8,250 + 40% x S1)]

S1 = [spoiler]$6,953.13[/spoiler]
Can you please check the equation again? S1 = $5,850 = [10% x ($8,250 + 40% x S1)]
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/

User avatar
Master | Next Rank: 500 Posts
Posts: 253
Joined: 26 Dec 2008
Thanked: 8 times
Followed by:1 members

by BlindVision » Fri Apr 06, 2012 9:59 pm
Hi Anurag... you are fast!:-) Correction was made right before you posted. Would appreciate your help. Thank you!
Life is a Test

User avatar
Junior | Next Rank: 30 Posts
Posts: 15
Joined: 26 Mar 2012
Thanked: 3 times

by gmatmath » Fri Apr 06, 2012 10:03 pm
S1 = 5850 + [10% x (8250 + 40% x S1)]
S1 = 5850 + [0.1 x (8250 + 0.4S1)] [I have converted 10% in decimals as 0.1 and 40% as 0.4]
S1 = 5850 + [825 + 0.04S1] [multiplying 0.1 with (8250 + 0.4S1)]
S1 = 5850 + 825 + 0.04S1
S1 - 0.04S1 = 6675
==> 0.96S1 = 6675
==> S1 = 6675/0.96
==> S1 = 6953.125, when rounded we get $6953.13.

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: 02 Apr 2010
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Fri Apr 06, 2012 10:04 pm
BlindVision wrote:Hi Anurag... you are fast!:-) Correction was made right before you posted. Would appreciate your help. Thank you!
Cool, thanks!

S1 = $5,850 + [10% x ($8,250 + 40% x S1)]
10% = 10/100 = 0.1 and 40% = 40/100 = 0.4
So, S1 = $5,850 + [0.1 x ($8,250 + 0.4 x S1)]
S1 = $5,850 + [$825 + (0.1 *0.4 x S1)]
S1 = $6,675 + 0.04S1
S1 - 0.04S1 = $6,675
S1(1 - 0.04) = $6,675
0.96 * S1 = $6,675
S1 = $6,675/0.96 = [spoiler]$6,953.125[/spoiler]
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
1-800-566-4043 (USA)

Join Our Facebook Groups
GMAT with Gurome
https://www.facebook.com/groups/272466352793633/
Admissions with Gurome
https://www.facebook.com/groups/461459690536574/
Career Advising with Gurome
https://www.facebook.com/groups/360435787349781/