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A trust of $45,000 was divided into three smaller trusts in the ratio

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A trust of $45,000 was divided into three smaller trusts in the ratio  [#permalink]

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New post 07 Mar 2019, 04:31
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A trust of $45,000 was divided into three smaller trusts in the ratio 2:3:4. These trusts earned interest at 4%, 5%, and 6.5 %, respectively. The interest income earned after 1 year is approximately what percent of the starting value of the trust?
A) 6.25%
B) 6%
C) 5.5%
D) 5%
E) 4.75%

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A trust of $45,000 was divided into three smaller trusts in the ratio  [#permalink]

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New post 07 Mar 2019, 06:15
Abhi077 wrote:
A trust of $45,000 was divided into three smaller trusts in the ratio 2:3:4. These trusts earned interest at 4%, 5%, and 6.5 %, respectively. The interest income earned after 1 year is approximately what percent of the starting value of the trust?
A) 6.25%
B) 6%
C) 5.5%
D) 5%
E) 4.75%



We do not have to get into share of each ..
interest 4:5:6.5 for share in ratio 2:3:4..
\(Average = \frac{Total interest}{total share}=\frac{2*4+3*5+4*6.5}{2+3+4}=\frac{49}{9}=5.5\)

C

Also 2:3:4 and 4:5:6.5 can visually get you to the answer. 2:4 in ratio 4:6.5 means it has to be twice farther from 2 as from 4.. so \(4+\frac{(6.5-4)*2}{3}=4+1.6=5.6\)
so now we have (2+4):3 with interest 5.6:5... so again it has to be closer to 5.6 than 5, so 5.5 is the only available answer,
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A trust of $45,000 was divided into three smaller trusts in the ratio   [#permalink] 07 Mar 2019, 06:15
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A trust of $45,000 was divided into three smaller trusts in the ratio

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