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# M12-03

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Math Expert
Joined: 02 Sep 2009
Posts: 54376

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16 Sep 2014, 00:46
00:00

Difficulty:

25% (medium)

Question Stats:

84% (02:06) correct 16% (02:07) wrong based on 50 sessions

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In a bunch of letters, 60 were found to be anonymous and typewritten. If 15 percent of the typewritten letters were anonymous, how many letters that were not anonymous were typewritten?

A. 120
B. 180
C. 340
D. 360
E. 400

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Math Expert
Joined: 02 Sep 2009
Posts: 54376

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16 Sep 2014, 00:46
Official Solution:

In a bunch of letters, 60 were found to be anonymous and typewritten. If 15 percent of the typewritten letters were anonymous, how many letters that were not anonymous were typewritten?

A. 120
B. 180
C. 340
D. 360
E. 400

15 percent of typewritten letters = 60. Hence, there are in all $$\frac{60}{15}*100 = 400$$ typewritten letters. Of these 400 letters, 60 are anonymous. Therefore, $$400 - 60 = 340$$ letters are typewritten and not anonymous.

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Joined: 28 Nov 2014
Posts: 840
Concentration: Strategy
GPA: 3.71

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02 Aug 2016, 08:14
Thanks pluto82 This helps.
Intern
Joined: 20 Sep 2011
Posts: 18
Schools: Ross '17, ISB '16, NUS '17
GMAT 1: 640 Q40 V35

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03 Aug 2016, 23:31
Bunuel wrote:
In a bunch of letters, 60 were found to be anonymous and typewritten. If 15 percent of the typewritten letters were anonymous, how many letters that were not anonymous were typewritten?

A. 120
B. 180
C. 340
D. 360
E. 400

15 % -> 60 letters
100 % -> 60/15 x 100 = 400
Anonymous + Not Anonymous letters =400
=> Not Anonymous =400 -60 =340
Option C
Manager
Joined: 31 Jan 2018
Posts: 69
GMAT 1: 700 Q46 V40

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10 Apr 2019, 07:05
I think this is a poor-quality question and the explanation isn't clear enough, please elaborate. There seems to be some issue with the explanation,

According to the question,
60 = anonymous + typewritten

and 15 % typewritten letters(anonymous and typewritten both + typewritten only) = anonymous only + anonymous and typewritten both
Manager
Joined: 24 Nov 2018
Posts: 108
Location: India
GPA: 3.27
WE: General Management (Retail Banking)

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10 Apr 2019, 17:58
Bunuel wrote:
In a bunch of letters, 60 were found to be anonymous and typewritten. If 15 percent of the typewritten letters were anonymous, how many letters that were not anonymous were typewritten?

A. 120
B. 180
C. 340
D. 360
E. 400

Using sets,
No of typewritten letters=$$\frac{60}{15}*100=400$$.
No of letters that were not anonymous but typewritten=$$400-60=340.$$

IMO, Option C.
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Re: M12-03   [#permalink] 10 Apr 2019, 17:58
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# M12-03

Moderators: chetan2u, Bunuel

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