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# The official height of a skyscraper is equal to the elevation of the

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Re: The official height of a skyscraper is equal to the elevation of the [#permalink]
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Bunuel wrote:
The official height of a skyscraper is equal to the elevation of the roof plus the height of the spire atop the roof. The height of the spire on a certain skyscraper is what percent of the official height?

(1) The spire on the skyscraper is 25 percent of the elevation of the roof.
(2) The official height of the skyscraper is 1,000 meters.

The Question
Compute the height of the spire as a percent of the official height of the skyscraper.

The required percentage = $$\frac{(Height of Spire)}{(Official height of skyscraper)}$$ * 100

Additional data from question stem: The official height of a skyscraper is equal to the elevation of the roof plus the height of the spire atop the roof

When is the data sufficient?
If from the statements we can compute a unique value for the percentage, the data is sufficient.

Evaluate Statement 1 ALONE : The spire on the skyscraper is 25 percent of the elevation of the roof.
So, the official height of the skyscraper = elevation of roof + height of the spire
= elevation of the roof + 25% of the elevation of the roof = 125% of the elevation of the roof.

Required percent = $$\frac{(25 percent of the elevation of the roof)}{(125 percent of the elevation of the roof)}$$ * 100

Statement 1 ALONE provides a unique answer.
Choices A or D.

Evaluate Statement 2 ALONE: The official height of the skyscraper is 1,000 meters.
The break up between the elevation of roof and the height of the spire is not known.
So, we will not be able to find the percentage using statement 2 alone.