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A retailer sells only radios and clocks

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Joined: 06 Sep 2013
Posts: 1745
Concentration: Finance

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18 Sep 2013, 14:50
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Difficulty:

55% (hard)

Question Stats:

63% (02:05) correct 37% (02:15) wrong based on 147 sessions

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A retailer sells only radios and clocks. If she currently has 44 total items in inventory, how many of them are radios?

(1) The retailer has more than 28 radios in inventory

(2) The retailer has less than twice as many radios as clocks in inventory.
Math Expert
Joined: 02 Sep 2009
Posts: 50619

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18 Sep 2013, 14:59
A retailer sells only radios and clocks. If she currently has 44 total items in inventory, how many of them are radios?

R + C = 44.

(1) The retailer has more than 28 radios in inventory --> R > 28. Not sufficient.

(2) The retailer has less than twice as many radios as clocks in inventory --> R < 2C --> . Not sufficient.

(1)+(2) Since from the stem we know that C = 44 - R, then from (2) we get that R < 2(44 - R) --> R < 88/3=~29.something. So, we have that 28 < R < 29.something, which means that R = 29. Sufficient.

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Joined: 17 May 2013
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15 Oct 2013, 12:18
Hi Bunuel,
Please correct me if I am wrong.
As per my understanding, the second statement equation becomes C<2R
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15 Oct 2013, 12:39
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aniketrathi wrote:
Hi Bunuel,
Please correct me if I am wrong.
As per my understanding, the second statement equation becomes C<2R

No.

Consider this: say we are told that "the retailer has twice as many radios as clocks in inventory", then we would have R=2C (twice as many radios as clocks).

But we are told that "the retailer has less than twice as many radios as clocks in inventory", so it should be R<2C.

Hope it's clear.
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Joined: 17 Jul 2014
Posts: 2645
Location: United States (IL)
Concentration: Finance, Economics
GMAT 1: 650 Q49 V30
GPA: 3.92
WE: General Management (Transportation)

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05 Apr 2016, 17:25
1. r>28 - not sufficient.
2. r<2C - not sufficient.

1+2
r=29 - yes
r=30 - no

r=29
sufficient. C
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24 Mar 2018, 21:49
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: A retailer sells only radios and clocks &nbs [#permalink] 24 Mar 2018, 21:49
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