enigma123 wrote:

A certain bank has ten branches. What is the total amount of assets under management at the bank?

(1) There is an average of 400 customers per branch. When each branch’s average assets under management per customer is computed, these values are added together and this sum is divided by 10. The result is $400,000 per customer.

(2) The bank has a total of 4,000 customers. When the total assets per branch are added up, each branch is found to manage, on average, 160 million dollars in assets.

As the OA is not provided, for me its D. Can someone please have a look and let me know if you think otherwise?

(1) we have assets for each branch = a1, a2,...a10; customers for each brand = c1,c2,...c10

(a1/c1 + a2/c2+ ....+a10/c10)/10= 400,000

On the other hand, total amount of assets under management for each brand= C = c1+ c2+....+c10, Total customer =C = c1+ c2+...+c10

Total assets/Total customer = A/C = Average assets per customer for all brand.

A/C = (a1+...+a10)/(c1+...+c10) is different from (a1/c1 + a2/c2+ ....+a10/c10).

INSUFFICIENT

(2) We can calculate total assets per branch * 10 branches = total amount of assets = 160million*10

SUFFICIENT

B is the answer

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