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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
Price of the camera and lens when purchased separately = 209$ + 69$ = 278$

Total price when purchased together = 239$

Discount in $ = 278$ - 239$ = 39$

Discount % = 39/278% = 14%

Hence the correct answer is A

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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
HKD1710 wrote:
The price of a model M camera is $209 and the price of a special lens is $69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?

(A) 14%
(B) 16%
(C) 29%
(D) 33%
(E) 86%

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When purchased separately, Total cost = 278 $

When bought together price = 239 $

239 = x/100 * 278
x = 86 %

Now this 86 % is the difference between both the prices

But he saved 14 %

A
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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
HKD1710 wrote:
The price of a model M camera is $209 and the price of a special lens is $69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?

(A) 14%
(B) 16%
(C) 29%
(D) 33%
(E) 86%

Project PS Butler : Question #66


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Price saved is ( 209 + 69 ) - 239 = 39

So , percentage saved is 39/278*100 = 14.xx %, Thus Answer must be (A)
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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
Expert Reply
HKD1710 wrote:
The price of a model M camera is $209 and the price of a special lens is $69. When the camera and lens are purchased together, the price is $239. The amount saved by purchasing the camera and lens together is approximately what percent of the total price of the camera and lens when purchased separately?

(A) 14%
(B) 16%
(C) 29%
(D) 33%
(E) 86%



The amount saved by purchasing the camera and lens together as a percent of the total price of the camera and lens when purchased separately is:

(209 + 69 - 239)/(209 + 69) = 39/278, which is about 40/280 = 1/7 = 14%

Answer: A
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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
You can also do this way:

278 price when sold separately vs 239 price when sold together.

Then you need to obtain their difference in percent.

(278-239)/278 *100

At this point you get (39/278)*100, or 3900/278. By distributing, 2780/278 + 1120/278 breaks down into 10+4 or about 14% (it's easier to estimate 1120/278 than 3900/278) (quick product to check 1120/278 and you can solve this question in 1.5 min or less)

:)
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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
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Re: The price of a model M camera is $209 and the price of a special lens [#permalink]
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