Last year's receipts from the sale of candy on Valentine's

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Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 of total candy sales for the year. Candy sales for the year totaled how many million dollars?

A. 55
B. 550
C. 2,695
D. 5,500
E. 26,950

The OA is D.

Since 385 million $ is 7% of the total candy sales, 1% is 55 million dollars.

Hence, 100% of the candy sales is 5500 million dollars. Option D.

Has anyone another approach to solve this PS question? Regards!
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by GMATGuruNY » Mon May 21, 2018 6:59 am
AAPL wrote:Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7% of total candy sales for the year. Candy sales for the year totaled how many million dollars?

A. 55
B. 550
C. 2,695
D. 5,500
E. 26,950
We can PLUG IN THE ANSWERS, which represent the total sales.
Since 385 represents 7% of the total sales, 10% of the correct answer must be a little more than 385.
Only D is viable:
10% of 5500 = 550.

The correct answer is D.
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by [email protected] » Mon May 21, 2018 6:48 pm
Hi All,

We're told that last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars and those receipts represented 7% of total candy sales for the year. We're asked for the total dollar amount of candy sold, in millions of dollars, for the year. This question can be solved in a number of different ways; since the Answer choices are so 'spread out', we can use some estimation and basic Arithmetic to get the answer.

To start, 7/100 is approximately 1/14, so 385 is approximately 1/14 of the total. Instead of multiplying (385)(14), you should recognize that (385)(10) = 3850, so (385)(14) will be bigger (but not that much bigger) than 3850. There's only one answer that 'fits.'

Final Answer: D

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by Scott@TargetTestPrep » Tue May 22, 2018 5:10 pm
AAPL wrote:Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 of total candy sales for the year. Candy sales for the year totaled how many million dollars?

A. 55
B. 550
C. 2,695
D. 5,500
E. 26,950
Letting n = the total candy sales for the year, we can create a proportion:

7/385 = 100/n

7n = 385 x 100

n = 55 x 100 = 5500

Alternate Solution:

Letting n = the total candy sales for the year, we can create the following equation:

0.07n = 385

7n = 38500

n = 5500 million

Answer: D

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