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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...

Expert replies
by BTGmoderatorLU » Thu Apr 23, 2020 6:05 am

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Source: GMAT Prep

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 OA is B
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Source: — Problem Solving |

BTGmoderatorLU wrote:
Thu Apr 23, 2020 6:05 am
Source: GMAT Prep

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 OA is B
Total cost of the 5 filters purchased individually = $10.45 + $10.45 + $12.05 + $12.05 + $17.50 = $62.50
Cost of filter kit = $57.50

The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually?
Amount saved = $62.50 - $57.50 = $5.00

Desired percent = (100)($5.00)/$62.50 = 8%

Answer: B

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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BTGmoderatorLU wrote:
Thu Apr 23, 2020 6:05 am
Source: GMAT Prep

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 OA is B
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.

Answer: B

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