Question #230dc

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Answer 1 · 2017-01-28T16:32:30

The Amt. deposited at $4.5%" is "100xx200=$20000$ ,

whereas, that deposited at $5%" is "$40000$ .

Suppose that, Liza deposits $$100x" at "4.5%$ .

$:.," by given, the amount deposited at "5%" must be "$200x"$ .

Now, recall that,

$"Interest"=("Principal" xx "Rate" xx "Year")/100$

$:." Annual Income "I_1" of Interest from Deposit "$100x$ is,

$I_1={(100x)(4.5)(1)}/100=$4.5x.$

Similarly, Deposit $$200x$ gives

$"Interest I_2="$10x$ .

$:." Total Interest I="I_1+I_2=$14.5x,$ which is, $$2900.$

$:. 14.5x=2900 rArr x=2900/14.5=200$

Therefore, the Amt. deposited at $4.5%" is "100xx200=$20000$ ,

whereas, that deposited at $5%" is "$40000$ .

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