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• ### $450 Tuition Credit & Official CAT Packs FREE January 15, 2019 January 15, 2019 10:00 PM PST 11:00 PM PST EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth$100 with the 3 Month Pack ($299) • ### The winning strategy for a high GRE score January 17, 2019 January 17, 2019 08:00 AM PST 09:00 AM PST Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL. # Sam earned a$2,000 commission on a big sale, raising his average comm

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Manager
Joined: 14 Feb 2016
Posts: 73
Sam earned a $2,000 commission on a big sale, raising his average comm [#permalink] ### Show Tags 08 Jan 2019, 08:10 1 00:00 Difficulty: 25% (medium) Question Stats: 70% (00:56) correct 30% (01:06) wrong based on 20 sessions ### HideShow timer Statistics Sam earned a$2,000 commission on a big sale, raising his average commission by $100. If Sam's new average commission is$900, how many sales has he made?

a) 12
b) 13
c) 15
d) 21
e) 8

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Intern
Joined: 24 Oct 2017
Posts: 5
GMAT 1: 620 Q49 V25
Sam earned a $2,000 commission on a big sale, raising his average comm [#permalink] ### Show Tags 08 Jan 2019, 09:16 Okay, So we need to consider a few variables here: Total Sales = Ts Total commission (before$2000) =T1

New Average Commission = 900 = $$\frac{T1+2000}{Ts}$$ = Old Average Commission + 100 ------ (According to the question)
Old Average Commission =$$\frac{T1}{(Ts-1)}$$

Therefore we have 2 equations now

900 = $$\frac{T1+2000}{Ts}$$ ----- (i)
900 = $$\frac{T1}{(Ts-1)}$$ + 100 -----(ii)

Simplifying them..

900xTs = T1 + 2000 ----- (i)
800xTs = T1 + 800 -----(ii)

Subtracting eq(ii) from eq(i), we eliminate T1

We get, Ts = 12;

Intern
Joined: 20 Feb 2018
Posts: 5

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08 Jan 2019, 21:17
Sam earned a $2,000 commission on a big sale, raising his average commission by$100. If Sam's new average commission is $900, how many sales has he made? a) 12 b) 13 c) 15 d) 21 e) 8 By Rule of Alligations : $$\frac{n_1}{n_2}$$ = $$\frac{(A_2-A)}{(A-A_1)}$$ Here, $$n_1$$ is unknown, $$n_2$$ = 1, $$A_2$$ = 2000, $$A_1$$ = 800, and A = 900 $$\frac{n_1}{1}$$= $$\frac{(2000-900)}{(900-800)}$$ $$n_1$$ =11 So, total number of Sales = $$n_1 + n_2$$ = 11 + 1 = 12 Choice A _________________ Please contact me at ksrutisagar@gmail.com Re: Sam earned a$2,000 commission on a big sale, raising his average comm &nbs [#permalink] 08 Jan 2019, 21:17
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# Sam earned a \$2,000 commission on a big sale, raising his average comm

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