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Jeramiah invests his savings of $120,000 by dividing it between two in [#permalink]
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KarunMendiratta wrote:
GeminiHeat wrote:
Jeramiah invests his savings of $120,000 by dividing it between two interest-earning accounts. He puts 3/4 of his savings in an account that earns lower interest and 1/4 of his savings in an account that earns higher interest. He has no other accounts that earn interest and he makes $3,636 in interest by the end of the year. If one account earns 2 percent annual interest, and both accounts are compounded semiannually, what percent interest does the other account earn?

A. 3

B. 4

C. 5

D. 6

E. 7


\(C.I = P(1 + \frac{r}{100n})^{nt} - P\)

Don't worry we will not be using this formula!

Let us solve this using S.I

\($120,000\) is divided into two Principals of \($90,000\) (with lower rate of interest) and \($30,000\) (with higher rate of interest)

Notice, the option choices are all greater than \(2\)%
This means, \($90,000\) was invested at an interest rate of \(2\)%
So, S.I \(= \frac{(90,000)(2)(1)}{100} = $1800\)

Now, \($30,000\) must give us a return of \(3636- 1800 = $1826\) at \(r\)% rate of interest in a year
i.e. \(1836 = \frac{(30,000)(r)(1)}{100}\)
\(r = 6.12\)%

Hence, option D


Is it actually okay to apply SI in this case if it's semi compounded annually? I thought it it's okay to apply SI for the first year (given it's compounded annually)
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Jeramiah invests his savings of $120,000 by dividing it between two in [#permalink]
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