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Barbata invests $2400 in the National Bank at 5%. How much additional

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Intern
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Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 04 Mar 2011, 11:10
7
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

66% (01:43) correct 34% (02:52) wrong based on 102 sessions

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Barbata invests $2400 in the National Bank at 5%. How much additional money must she invest at 8% so that the total annual income will be equal to 6% of her entire investment?

A/ 1200
B/ 3000
C/ 1000
D/ 3600
E/ 2400
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Re: Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 04 Mar 2011, 11:19
1
Let the additional invested amount for 8% interest be x;

Equation will be;
2400+0.05*2400+x+0.08x = 2400+x+0.06(2400+x)
0.05*2400+0.08x = 0.06x+0.06*2400
0.02x = 2400(0.06-0.05)
x = 2400*0.01/0.02 = 1200

Ans: "A"
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Re: Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 04 Mar 2011, 20:07
1
in short the question is asking wht additional amnt shud be added so tht the individual interest rates match up 6% of the total.

(x+2400)*6=2400*5+8x.
on solving, x=1200.
option A
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Re: Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 04 Mar 2011, 21:53
120 + 8/100 * x = 6/100 * (x+2400)

=> (8-6)x/100 = 144 - 120

=> x = 2400/2 = 1200

So answer is A.
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Re: Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 13 Aug 2017, 11:12
Using options,
5% of 2400 = 120

Option A - 8% of 1200= 96 ,
120+96=216
6%(2400+1200)=216
Thus option A
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Barbata invests $2400 in the National Bank at 5%. How much additional  [#permalink]

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New post 17 Mar 2019, 09:33
1
This can be solved using alligation

5% 6% 8%

2 -----------1

2400 was invested at 5%. That is represented by 2 parts. 1 part was invested at 8%. 2400/2=1200
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Barbata invests $2400 in the National Bank at 5%. How much additional   [#permalink] 17 Mar 2019, 09:33
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