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Register now and save up to $200 Available with Beat the GMAT members only code • Reach higher with Artificial Intelligence. Guaranteed Now free for 30 days Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code ## Difficult Math Problem #17 This topic has 6 member replies 800guy Master | Next Rank: 500 Posts Joined 27 Jun 2006 Posted: 354 messages Followed by: 5 members Upvotes: 11 #### Difficult Math Problem #17 Wed Sep 20, 2006 4:58 pm OA coming after some people try answering.. Matt starts a new job, with the goal of doubling his old average commission of$400. He takes a 10% commission, making commissions of $100.00,$200.00, $250.00,$700.00, and $1,000 on his first 5 sales. If Matt made two sales on the last day of the week, how much would Matt have had to sell in order to meet his goal? 800guy Master | Next Rank: 500 Posts Joined 27 Jun 2006 Posted: 354 messages Followed by: 5 members Upvotes: 11 Fri Sep 22, 2006 9:59 am here's the OA: The two sales on Matt's last day of the week must total$33,500.

(100 + 200 + 250 + 700 + 1000 + x) / 7 = 800
x = 3350
since x is Matt's 10% commission, the sale is $33,500. ### Top Member Roland2rule Legendary Member Joined 30 Aug 2017 Posted: 713 messages Followed by: 4 members Sat Sep 23, 2017 1:07 pm Assuming the two sales on Matt's last day of the week must total$33,500.

(100 + 200 + 250 + 700 + 1000 + x) / 7 = 800
2250+ x = 5600
x= 5600-2250
x = 3350
since x which is the 10% Matt's commission, then the sale is $33,500. gamemaster Senior | Next Rank: 100 Posts Joined 03 Sep 2006 Posted: 34 messages Thu Sep 21, 2006 12:46 am if the average of 7 sales is 400$, than in total he had to earn 2800$in 7 sales he made: 1000+700+250+200+100 = 2250$ in 5 sales

so in the the last 2 sales he had to make a comission of 550$meaning he had to sell in an amount of 5500$

r4rohini Newbie | Next Rank: 10 Posts
Joined
02 Aug 2006
Posted:
3 messages
Thu Sep 21, 2006 1:14 am
Hey!!! this is the way u do it :

he wants to dowble his commission from $400 to$800

100+200+250+700+1000+x+y
---------------------------------------- = 800
7

i.e 2250+x+y = 5600
x+y = 3350

Now he has to sell
10/100 * z = 3350
z= 33500

He has to sell 33500 in order to double his average

gamemaster Senior | Next Rank: 100 Posts
Joined
03 Sep 2006
Posted:
34 messages
Thu Sep 21, 2006 1:27 am
Yes

i didnt notice they said 'doubled'

but anyway, the method is the same ...

jtsgmat Newbie | Next Rank: 10 Posts
Joined
12 Jun 2006
Posted:
7 messages
Thu Sep 21, 2006 8:11 am
The asnwer is correct if we assume that he sells during seven days. However, it could also be the case that there are only 5 days. Note that problem stated that he made five sales during the the week and 2 sales on the last day of the week.

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