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If a certain seamstress in a garment shop made 65 coats, what percent

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If a certain seamstress in a garment shop made 65 coats, what percent  [#permalink]

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New post 04 Mar 2019, 14:16
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Question Stats:

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If a certain seamstress in a garment shop made 65 coats, what percent of the shop’s total output of coats did she make?

(1) The shop made a total of 325 coats.

(2) The number of coats made by the seamstress represents \(\frac{1}{5}\) of the shop’s output of coats.

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Re: If a certain seamstress in a garment shop made 65 coats, what percent  [#permalink]

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New post 04 Mar 2019, 15:09
SajjadAhmad wrote:
If a certain seamstress in a garment shop made 65 coats, what percent of the shop’s total output of coats did she make?

(1) The shop made a total of 325 coats.

(2) The number of coats made by the seamstress represents \(\frac{1}{5}\) of the shop’s output of coats.



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(1) The show made a total of 325 coats. Then the seamstress made 65/325 *100% = 13/65 = 20% Sufficient

(2) The number of coats made by the seamstress represents 1/5 of the shop's total output of coats.

Then 1/5 *100% = .2*100% = 20%. Sufficient

Answer is D.

In my opinion, this is probably a sub 600 level question
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Re: If a certain seamstress in a garment shop made 65 coats, what percent  [#permalink]

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New post 06 Mar 2019, 03:41
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Hello,

Greetings for the day!

This DS question is an easy question based on doing basic percentage calculations. Therefore, this is a sort of question that you can probably expect in the initial quarter of the Quant section on an actual test.

In the question, we are required to find out, what percentage the coats made by the seamstress represents, in comparison to the total output of coats of the shop.

This can be found out using the expression,

(Number of coats made by the seamstress / Total coat outputs of the shop) x 100

We already have the data about the numerator since the question says that the seamstress made 65 coats. Hence, we need data about the denominator from the statements.

Using Statement I alone, we know that the total coat output of the shop is 325. Hence, we can determine a unique value for the percentage, by plugging in the values known in the expression above. Therefore, statement I alone is sufficient to answer the question asked.

Using statement II alone, we know for sure that the seamstress had made 20% of the total output of the shop’s coats since 1/5 represents 20%. Therefore, statement II alone is sufficient to answer the question asked.

We can conclude that the correct answer option is D since each statement alone is sufficient to answer the question.

Hope this helps!
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Re: If a certain seamstress in a garment shop made 65 coats, what percent   [#permalink] 06 Mar 2019, 03:41
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