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Re: A mobile phone is available for $39000 cash or $17000 as dow [#permalink]
Expert Reply
interviewbay22 wrote:
Hi

Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years

the way I see it: on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000

For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)

thus, SI = 2000 or

2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)

R = (2,000*12*100)/22,000*5
R = 21.81%

Therefore answer is D

Dear interviewbay22,
My friend, you are using that formula incorrectly ---- I'm not convinced it's really the correct formula for anything meaningful. See this post for simple & compound interest:
https://magoosh.com/gmat/2014/compound-i ... -the-gmat/
Among other things, R is an annual interest rate, so we can't have T, time, in months! More to the point, simple interest means --- quite simply, $2000 is what percent of $22,000? That number is clearly not anything around 20%.
One of the major problems with this problem is that the nature of the percentage is not specified in an unambiguously manner. This is an exceptionally poorly written question.
Mike :-)
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Re: A mobile phone is available for $39000 cash or $17000 as dow [#permalink]
mikemcgarry wrote:
interviewbay22 wrote:
Hi

Simple interest SI = (P*R*T)/100
where P is the principal amount
R is the rate of interest
and T is time in years

the way I see it: on down payment of 17,000, customer is not paying any interest. it is the remaining sum which will be paid for 5 months that will bear an interest. Therefore, the principal amount for which interest is being charged is 39,000 - 17,000 = 22,000

For this 22,000 a total sum of 5*4800 = 24,000 was pain. (Time is five months, so T = 5/12, as T is in years.)

thus, SI = 2000 or

2000 = (P*R*T)/100
2000 = (22,000*R*5)/(100*12)

R = (2,000*12*100)/22,000*5
R = 21.81%

Therefore answer is D

Dear interviewbay22,
My friend, you are using that formula incorrectly ---- I'm not convinced it's really the correct formula for anything meaningful. See this post for simple & compound interest:
https://magoosh.com/gmat/2014/compound-i ... -the-gmat/
Among other things, R is an annual interest rate, so we can't have T, time, in months! More to the point, simple interest means --- quite simply, $2000 is what percent of $22,000? That number is clearly not anything around 20%.
One of the major problems with this problem is that the nature of the percentage is not specified in an unambiguously manner. This is an exceptionally poorly written question.
Mike :-)


I think the ask in this particular question is just the extra amount paid (interest) will be simple interest of the principle if it were under the simple interest plan for five months.
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Re: A mobile phone is available for $39000 cash or $17000 as dow [#permalink]
I would skip this question .. :evil: :evil:

I agree with Mike, Question not worth spending time on tedious calculation :cry:
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Re: A mobile phone is available for $39000 cash or $17000 as dow [#permalink]
Hello from the GMAT Club BumpBot!

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Re: A mobile phone is available for $39000 cash or $17000 as dow [#permalink]
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