An appliance store acquired a refrigerator at a cost...

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An appliance store acquired a refrigerator at a cost of x dollars and sold the item for y dollars. The cost of the item was what percent of its selling price?

(1) The gross profit from the item was 25% of the cost of the item.

(2) The gross profit from the item was 20% of the selling price of the item.

The OA is D.

I don't understand why D is the correct answer. Can any expert explain this DS question please? Thanks.
Source: — Data Sufficiency |

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by Jay@ManhattanReview » Tue Oct 24, 2017 11:12 pm
LUANDATO wrote:An appliance store acquired a refrigerator at a cost of x dollars and sold the item for y dollars. The cost of the item was what percent of its selling price?

(1) The gross profit from the item was 25% of the cost of the item.

(2) The gross profit from the item was 20% of the selling price of the item.

The OA is D.

I don't understand why D is the correct answer. Can any expert explain this DS question please? Thanks.
(1) The gross profit from the item was 25% of the cost of the item.

Say the cost price = 100, thus selling price = 100 + 25 = 125

Cost as a percent of its selling price = (Cost/selling price)*100% = (100/125)*100% = 80%. Sufficient.

(2) The gross profit from the item was 20% of the selling price of the item

Say the selling price = 100, thus cost price = 100 - 20 = 80

Cost as a percent of its selling price = (Cost/selling price)*100% = (80/100)*100% = 80%. Sufficient.

The correct answer: D

Hope this helps!

-Jay

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