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Jolene entered an 18-month investment contract that [#permalink]
09 Feb 2012, 05:56

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

68% (03:28) correct
32% (01:55) wrong based on 222 sessions

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

Re: Simple Interest Calculation [#permalink]
09 Feb 2012, 06:13

2

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

Chembeti wrote:

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

I saw this question in the exam and the solution looks like is not considering interest rates as per annum. So is it true that if per annum is not specified with the interest rates we dont need to put the time in calculation as a ratio of months/year.

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

I saw this question in the exam and the solution looks like is not considering interest rates as per annum. So is it true that if per annum is not specified with the interest rates we dont need to put the time in calculation as a ratio of months/year.

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

Thanks

Merging similar topics. Please ask if anything remains unclear.

P.S. PLEASE ALWAYS POST ANSWER CHOICES FOR PS PROBLEMS. _________________

Re: Jolene entered an 18-month investment contract that [#permalink]
23 Apr 2012, 10:32

raviram80 wrote:

Thanks, I understand now.

This is the line which means compound interest

"If each interest payment is reinvested in the contract"

This isn't really a compound interest. All that it says is that the interest received is used again in the contract. Nowhere in the statement is it explicitly or implicitly stated that its a compound interest and the answer too are pretty simple to derive if you don't lost in the dilemna of Simple and compounded interest. _________________

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.

Great cancelling out technique! so simple, calculate simple interest first and strike out answers below that. Great trick for if I am low on time. Thanks.

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.

Great elimination method if I am low on time. Thanks!

Re: Jolene entered an 18-month investment contract that [#permalink]
12 Aug 2012, 22:56

2

This post received KUDOS

Chembeti wrote:

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

Using Compound Interest Formula method: When rate of interest is R1%, R2% and R3% for 1st yr, 2nd yr and 3rd yr respectively, then

Re: Jolene entered an 18-month investment contract that [#permalink]
14 Oct 2013, 08:01

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Re: Simple Interest Calculation [#permalink]
02 May 2014, 07:01

Bunuel wrote:

Chembeti wrote:

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.

Hi Bunnel, you are taking 9% simple interest annually on $10000, which you got $900 , but it should be 18 months to calculate interest of 9% on 10000

Re: Simple Interest Calculation [#permalink]
02 May 2014, 09:29

Expert's post

riteshgmat wrote:

Bunuel wrote:

Chembeti wrote:

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.

Hi Bunnel, you are taking 9% simple interest annually on $10000, which you got $900 , but it should be 18 months to calculate interest of 9% on 10000

so SI = 10000 * 9 * 18 / 100 * 12

What I'm saying is that IF the interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000 in 18 months, which is $900. _________________

Re: Jolene entered an 18-month investment contract that [#permalink]
08 Aug 2014, 02:40

Bunuel wrote:

Chembeti wrote:

Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?

A. $506.00 B. $726.24 C. $900.00 D. $920.24 E. $926.24

This is very simple problem,yet need to pay attention to words in the problem

If interest were not compounded in every six months (so if interest were not earned on interest) then we would have (2+3+4)=9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.

Interest earned after the first time interval: $10,000*2%=$200; Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306; Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;

Total: 200+306+(~420)=~$926.

Answer: E.

Bunuel, could you please confirm

Should we treat percent rate as "percent per annum" only if it is explicitly stated in the stem "percent per annum"? This problem confused me at first as I started calculation with the assumption that "2 percent interest at the end of 6 months" stands for 2 percent annual rate, thus making 1% for 6 month period and so on

Thanks

gmatclubot

Re: Jolene entered an 18-month investment contract that
[#permalink]
08 Aug 2014, 02:40