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If $x is invested at a constant annually compound interest rate of k p

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If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 08 May 2016, 04:30
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If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 3n years?

A. (1+k/100)^n
B. (1+k)^n
C. (1+kn/100)
D. (1+n/100)^k
E. (1+kn)

* A solution will be posted in two days.

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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 08 May 2016, 05:44
2
MathRevolution wrote:
If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 3n years?

A. (1+k/100)^n
B. (1+k)^n
C. (1+kn/100)
D. (1+n/100)^k
E. (1+kn)

* A solution will be posted in two days.



Amount after 4n years will be = x ( 1 + k/100)^4n

Amount after 3n years will be = x ( 1 + k/100)^3n

So, required ratio will be -

{ x ( 1 + k/100)^4n } / {x ( 1 + k/100)^3n } = (1+k/100)^n

Hence answer will be a. (1+k/100)^n
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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 08 May 2016, 06:03
[quote="MathRevolution"]If $x is invested at a constant annually compound interest rate of k percent, what is the ratio of the total amount including interest after 4n years to that after 3n years?

A. (1+k/100)^n
B. (1+k)^n
C. (1+kn/100)
D. (1+n/100)^k
E. (1+kn)


x(1+k/100)^4n/x(1+k/100)^3n=
(1+k/100)^n

Ans A
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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 08 May 2016, 07:43
Answer is 'A', and I solved the same way as others did
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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 08 May 2016, 08:49
A is the answer we do not need to solve it we need to know the formula of it and it is clear if we remember the formula that is to be put for this question .It is clear that ANSWER is A
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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 09 May 2016, 19:46
The balance after 4n years is (1+k/100)^4n. The balance after 3n is (1+k/100)^3n. Since it is asking for the ratio, we get (1+k/100)^4n:(1+k/100)^3n=(1+k/100)^4n/(1+k/100)^3n=(1+k/100)^4n-3n
=(1+k/100)^n. Hence, the correct answer is A.

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Re: If $x is invested at a constant annually compound interest rate of k p  [#permalink]

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New post 09 Jul 2018, 08:11
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Re: If $x is invested at a constant annually compound interest rate of k p &nbs [#permalink] 09 Jul 2018, 08:11
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