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A sum of money is invested at simple interest, partly at 4% and remain 02 Jul 2017, 02:31
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C
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35% (medium)

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75% (02:45) correct 25% (03:06) wrong based on 177 sessions

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A sum of money is invested at simple interest, partly at 4% and remaining at 7% annual rates of interest. After two years, the total interest obtained was $2100. If the total investment is $18000, what was the sum of money invested at 4% annual rate of interest?

(A) $5500
(B) $6000
(C) $7000
(D) $10500
(E) $11000
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C
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A sum of money is invested at simple interest, partly at 4% and remain 02 Jul 2017, 02:43
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Bunuel
A sum of money is invested at simple interest, partly at 4% and remaining at 7% annual rates of interest. After two years, the total interest obtained was $2100. If the total investment is $18000, what was the sum of money invested at 4% annual rate of interest?

(A) $5500
(B) $6000
(C) $7000
(D) $10500
(E) $11000
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Total investment \(= $18000\)

Let the money invested with 4% interest \(= x\)

Money invested with 7% interest \(= 18000 - x\)

\(2100 = \frac{4*x*2}{100} + \frac{(18000-x)*7*2}{100}\)

\(\frac{8x + 252000 - 14x}{100} = 2100\)

\(-6x + 252000 = 210000\)

\(6x = 252000 - 210000 = 42000\)

\(x = \frac{42000}{6} = $7000\)

Answer (C)...
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A sum of money is invested at simple interest, partly at 4% and remain 02 Jul 2017, 07:28
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let sum of money invested at 4% be x and at 7% be 18000-x
(4*x*2)/100+((18000-x)*2*7)/100=2100
8x-14x+14*18000=210000
6x=42000
x=7000
hence C
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A sum of money is invested at simple interest, partly at 4% and remain 03 Jul 2017, 11:11
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money invested at 4% is x
money invested at 7% is 18,000 - x

Therefore after two years, interest is:

x*4*2/100 + (18,000- x)*7*2/100 = 2100

8x + 252000-14x = 210000
6x = 42000
x is 7000 or Option C
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A sum of money is invested at simple interest, partly at 4% and remain 04 Nov 2024, 22:01
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