Problemas
A bank efficiency ratio is the ratio of a bank's expenses to its revenue. expressed as a percentage. If a bank has 222 million dollars in expenses and an efficiency ratio of 75% what is its revenue in millions of dollars? square
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Respuesta
To find the bank's revenue, we need to use the given efficiency ratio and the bank's expenses.The efficiency ratio is defined as the ratio of a bank's expenses to its revenue, expressed as a percentage. In this case, the efficiency ratio is 75%, which means that the bank's expenses are 75% of its revenue.Let's denote the bank's revenue as
(in millions of dollars). Then, the bank's expenses can be calculated as
(since the expenses are 75% of the revenue).We are given that the bank's expenses are
million dollars. So, we can set up the equation:
To solve for
, we can divide both sides of the equation by
:
Calculating this expression, we get:
Therefore, the bank's revenue is
million dollars.