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04 Mar 2011, 11:10
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Question Stats:

78% (01:16) correct 22% (00:56) wrong based on 9 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 [Reveal] Spoiler: OA Math Forum Moderator Joined: 20 Dec 2010 Posts: 2021 Followers: 157 Kudos [?]: 1562 [0], given: 376 Re: Barbata invests$2400 in the National Bank at 5%. How much additional [#permalink]

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04 Mar 2011, 11:19
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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04 Mar 2011, 21:53
120 + 8/100 * x = 6/100 * (x+2400)

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

=> x = 2400/2 = 1200

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