Ratios-Please help me

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 26
Joined: Thu Dec 04, 2008 9:19 pm
Location: Bangalore
Thanked: 1 times

Ratios-Please help me

by dhiren8182 » Sun Sep 18, 2011 8:58 pm
Q:Matt gets a $1,000 commission on a big sale. This commission alone raises his average
commission by $150. If Matt's new average commission is $400, how many
sales has Matt made?

How to Solve this problem.
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 3835
Joined: Fri Apr 02, 2010 10:00 pm
Location: Milpitas, CA
Thanked: 1854 times
Followed by:523 members
GMAT Score:770

by Anurag@Gurome » Sun Sep 18, 2011 9:14 pm
dhiren8182 wrote:Q:Matt gets a $1,000 commission on a big sale. This commission alone raises his average
commission by $150. If Matt's new average commission is $400, how many
sales has Matt made?

How to Solve this problem.

Solution:
Let the initial number of sales be n and the total sales on these n commissions be $x.
So, x/n = 400-150 = 250.
Also (x+1000)/(n+1) = 400.
Or x+1000 = 400n + 400
Or 250n + 1000 = 400n + 400
Or 600 = 150n
Or n = 4.
Or n+1 = 5
So, total number of sales = 5
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/