Marsha has $23,479 in the bank. if she deposits 25% of her total, what percent of the new total must she remove to give her the same total as she started with?

20%

Explanation:

Data provided in the question:

Initial total = $23,479

Deposit = 25% of Total i.e initial total

= 0.25 × $23,479

= $5,869.75

Therefore,

Final total = $23,479 + $5,869.75

= $29,348.75

Now,

let the percent of total removed to be 'x%'

Thus,

According to the question

$29,348.75 - [ x% × ($29,348.75) ] = $23,479

or

x% × ($29,348.75) = $29,348.75 - $23,479

or

x% = $5,869.75 ÷ $29,348.75

or

x% = 0.2

or

x = 0.2 × 100%

or

x = 20%

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