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by pappueshwar » Sat Mar 17, 2012 4:46 am
Atlantic Holdings LLC has 6 subsidiary companies with combined total yearly sales of $23,100,000. By how much do the sales at the top selling company exceed the average sales per company?

I. The average sales at the lower five companies is 87.79% of the total average sales at all the Atlantic holdings subsidiaries.

II. The average sales at the highest five companies is 12/11 of total average sales at all Atlantic Holdings subsidiaries.

OA IS A
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Source: — Data Sufficiency |
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by sam2304 » Sat Mar 17, 2012 6:06 am
Tot sales of 6 companies = 231 * 10^5
Avg sales of 6 companies = Tot sales/6 = 38.5 * 10^ 5

Highest sales of 6 comp - Avg sales of 6 company = ?, this is what we are asked to find.

We know the avg sales of 6 companies. If we find the sales of top selling company it is suffice.

1.Given avg sales of lowest 5 companies.

Avg sales of lowest 5 companies = 87.79% of tot avg sales => 0.8779 * 38.5 * 10^5
Above value is the average sales of lowest 5 companies.

Now to find the highest value = Tot sales - sales of lowest 5 companies
= 231 * 10 ^ 5 - 5(0.8779 * 38.5 * 10^5)

We get the highest value with which we can find the difference.

2. 12/11 * 231 * 10^5 gives the average sales of top 5 companies.

We don't have any information to find the highest value. INSUFF

Hence A.
Last edited by sam2304 on Sat Mar 17, 2012 5:33 pm, edited 2 times in total.
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by pappueshwar » Sat Mar 17, 2012 9:54 am
thanks that was amazing expln
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