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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?

◻

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? $\newline$ ◻

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Write linear functions: word problems

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Q. 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?

\newline

◻

Define Efficiency Ratio: Understand the definition of the efficiency ratio. $\newline$ The efficiency ratio is calculated by dividing the bank's expenses by its revenue and then multiplying by $100$ to get a percentage. The formula can be expressed as: $\newline$ Efficiency Ratio (\%) = ( $\text{Expenses}$ / $\text{Revenue}$ ) * $100$
Rearrange Formula for Revenue: Rearrange the formula to solve for revenue. $\newline$ To find the revenue, we need to rearrange the formula to solve for it. This gives us: $\newline$ Revenue = Expenses / (Efficiency Ratio / $100$ )
Plug in Given Values: Plug in the given values into the rearranged formula. $\newline$ We know the bank's expenses are $\$222$ million and the efficiency ratio is $75\%$ . Let's substitute these values into the formula: $\newline$ $\text{Revenue} = \frac{\$222\ \text{million}}{(75 / 100)}$
Calculate Revenue: Calculate the revenue. $\newline$ Now, we perform the calculation: $\newline$ Revenue = $\$222$ million / $0.75$ $\newline$ Revenue = $\$296$ million

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