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### Show Tags

08 Jan 2014, 11:58
21
00:00

Difficulty:

55% (hard)

Question Stats:

66% (02:14) correct 34% (02:34) wrong based on 587 sessions

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A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at$10.45 each, 2 at $12.05 each, 1 at$17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?

A) 7%
B) 8%
C) 8.5%
D) 10%
E) 11%
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08 Jan 2014, 12:08
6
1
Price of the kit as given: $57.50 Price of the individual filters:$20.90 (2x 10.45)
+ $24.10 (2x 12.05) +$17.50
----------------
$62.50 Amount one would save by buying the kit:$62.50 - $57.50 =$5.00

Savings as percentage of sum of individual prices: $5.00/$62.50

(We know 10% of $62.50 is$6.25. So the answer must be lower than 10%.)
Looking at the answer choices we should then note immediately that the
answer is B without any calculation if we know that the fraction 5/8=0.625.

This showed me how important it is to memorize certain common fractions.
Doing a calculation like 5/62.5 is tedious. But knowing the decimal value of the
fractions by heart helps to solve this problem under a minute.

Important decimal values of fractions of 8 to know are:

1/8 = 0.125
3/8 = 0.375
5/8 = 0.625
7/8 = 0.875
##### General Discussion
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Re: A camera lens filter kit containing 5 filters sells for $57 [#permalink] ### Show Tags 08 Jan 2014, 12:16 1 Cost of kit =$57.50
If filters are purchased individually - $10.45*2 +$12.05*2 + $17.50 =$62.50
Amount saved = $62.50 -$57.50 = $5 Required %age = ($5/$62.50)*100 = 8% So, the correct answer is B. Retired Moderator Joined: 20 Dec 2013 Posts: 164 Location: United States (NY) GMAT 1: 640 Q44 V34 GMAT 2: 710 Q48 V40 GMAT 3: 720 Q49 V40 GPA: 3.16 WE: Consulting (Venture Capital) Re: A camera lens filter kit containing 5 filters sells for$57  [#permalink]

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08 Jan 2014, 19:11
3
of course having a grasp of common fraction -> decimal conversion is the best (which I have on my to do list )

here is how I worked it out though

5/62.5 -->

62.5/5 (inverse)

125/10 = 12.5

1/12.5 (inverse) * (8/8)

=8/100
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Re: A camera lens filter kit containing 5 filters sells for $57 [#permalink] ### Show Tags 08 Jan 2014, 22:37 2 BabySmurf wrote: A camera lens filter kit containing 5 filters sells for$57.50.
If the filters are purchased individually, 2 of them are priced
at $10.45 each, 2 at$12.05 each, 1 at $17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually? A) 7% B) 8% C) 8.5% D) 10% E) 11% price of the kit=$57.50
price of 5 filters together when bought individually is $62.50 savings when bought as a kit as percentage of peecentage of price when bought individually is (5/62.5)*100=8% Intern Joined: 05 Aug 2015 Posts: 38 Re: A camera lens filter kit containing 5 filters sells for$57  [#permalink]

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26 Mar 2016, 22:05
What is the easiest / fastest way to figure out 5/62.5? Thanks!
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Joined: 02 Aug 2009
Posts: 8310

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18 Apr 2017, 13:09
1
Top Contributor
happyface101 wrote:
What is the easiest / fastest way to figure out 5/62.5? Thanks!

First, recognize that, one way to convert a fraction into a percent is to multiply the numerator by 100 and evaluate the new fraction.
For example, 1/4 = (100)(1)/4 percent = 100/4 percent = 25 percent
Likewise, 6/5 = (100)(6)/5 percent = 600/5 percent = 120 percent

Second, we need to recognize that there's a nice fraction hiding in 62.5
If we recognize that 0.625 = 5/8 [a useful conversion to know], then 62.5 = 500/8

So we have,
5/62.5 = (100)(5)/62.5 percent
= (100)(5)/(500/8) percent
= 500/(500/8) percent
= (500)(8/500) percent
= 8 percent

Cheers,
Brent
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08 Aug 2018, 07:20
BabySmurf wrote:
A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at$10.45 each, 2 at $12.05 each, 1 at$17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?

A) 7%
B) 8%
C) 8.5%
D) 10%
E) 11%

Most of the discussion revolves around how to easily calculate 5/62.5
Please look up this picture. It contains how easily can we calculate the value without any need to remember any fractions at all.
Hope it helps.

Posted from my mobile device
Attachments

15337413998793125127951404701998.jpg [ 1.9 MiB | Viewed 4010 times ]

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30 Aug 2018, 03:45
AaronPond wrote:
Mo2men wrote:
Dear AaronPond,
As you said before, GMAT is reasoning test. However, I tried to do the same in the following GMAT prep question but failed. I hope you help in the following:
https://gmatclub.com/forum/a-camera-len ... s#p2119479
Thanks always for you support and explanation

Absolutely! I am very happy to help. As I solve this problem, I will focus on common patterns that the GMAT uses. Pattern recognition is crucial for those of you preparing for the GMAT. This should make a great deal of sense: you will certainly never see this exact problem repeated on the GMAT, so you need to know how to train your brain to strategically attack whole classes of problems.

Now, the setup to this problem is fairly straightforward, once you focus on what it is asking. It asks, "The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?" This translates to:

$$_{saved}=\frac{\%}{100}(_{total})$$

We want to solve for the "$$\%$$", so we need to find numerical values for $$_{saved}$$ and $$_{total}$$. The total amount, $$_{total}$$, is easy:
$\begin{array}{rr} 20.90 & (2*10.45) \\ 24.10 & (2*12.45) \\ +17.50 & \\ \hline 62.50 & \\ \end{array}$

Just a typo in the highlighted part. It should be $12.05. Target Test Prep Representative Status: Head GMAT Instructor Affiliations: Target Test Prep Joined: 04 Mar 2011 Posts: 2801 Re: A camera lens filter kit containing 5 filters sells for$57  [#permalink]

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04 Sep 2018, 03:47
BabySmurf wrote:
A camera lens filter kit containing 5 filters sells for $57.50. If the filters are purchased individually, 2 of them are priced at$10.45 each, 2 at $12.05 each, 1 at$17.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?

A) 7%
B) 8%
C) 8.5%
D) 10%
E) 11%

The total cost of the 5 filters when purchased individually is:

2 x 10.45 + 2 x 12.05 + 17.50

20.90 + 24.10 + 17.50

$62.50 Therefore, the amount saved when purchasing them together in a kit is 62.50 - 57.50 =$5, and this is 5/62.5 = 0.08 = 8% of the total cost of the filters when purchased individually.

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Re: A camera lens filter kit containing 5 filters sells for $57 [#permalink] ### Show Tags 14 Sep 2019, 04:31 Hello from the GMAT Club BumpBot! 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). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________ Re: A camera lens filter kit containing 5 filters sells for$57   [#permalink] 14 Sep 2019, 04:31
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