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If a certain manager had received a 10% raise instead of the 8% raise

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If a certain manager had received a 10% raise instead of the 8% raise [#permalink]

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New post 11 Jul 2016, 18:46
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Question Stats:

70% (01:23) correct 30% (01:42) wrong based on 69 sessions

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If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?

A. 55,000
B. 58,806
C. 59,290
D. 59,400
E. 61,620

Hey Guys! On easy questions like this, what is the quickest way to divide and multiply by decimals. The Kaplan answer strategy says to solve 60,500/11 and then later 1.08(55,000), but I always find myself wasting a lot of time dealing with this arithmetic when the answer choices aren't that spaced out. Any tips/suggestions are much appreciated!
[Reveal] Spoiler: OA

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Re: If a certain manager had received a 10% raise instead of the 8% raise [#permalink]

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New post 11 Jul 2016, 19:10
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buckeyeGMAT wrote:
If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?

A. 55,000
B. 58,806
C. 59,290
D. 59,400
E. 61,620

Hey Guys! On easy questions like this, what is the quickest way to divide and multiply by decimals. The Kaplan answer strategy says to solve 60,500/11 and then later 1.08(55,000), but I always find myself wasting a lot of time dealing with this arithmetic when the answer choices aren't that spaced out. Any tips/suggestions are much appreciated!

No need of getting involved with decimals ..just work in fractions ..
salary(let X) included 10% increase can be written as
(1+10/100)X=60500
X=60500/110------>55000
if there is 8% rise in 55000
then the salary now is 8% of 55000
8*55000/100=4400
then toal salary after increment=55000+4400----->59400
Ans D

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If a certain manager had received a 10% raise instead of the 8% raise [#permalink]

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New post 11 Jul 2016, 20:50
$60,500/1.1=$55,000
$55,000*1.08=$59,400

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Re: If a certain manager had received a 10% raise instead of the 8% raise [#permalink]

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New post 16 Jul 2016, 23:28
buckeyeGMAT wrote:
If a certain manager had received a 10% raise instead of the 8% raise that she actually received, her salary would have been $60,500. What was her actual salary after the raise?

A. 55,000
B. 58,806
C. 59,290
D. 59,400
E. 61,620


Initial salary is = 100
Actual salary ( after rise ) = 108
Expected Salary = 110

Quote:
her salary would have been $60,500.


So, 110------->60500
So, 100------->\(\frac{60500}{110}\)*100 => 55000

Quote:
What was her actual salary after the raise?


Salary after actual rise will be \(\frac{108}{100}\) * 55000 =>59400

Hence answer will definitely be (D)

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Re: If a certain manager had received a 10% raise instead of the 8% raise [#permalink]

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New post 05 Sep 2017, 00:00
In such type of questions, i always try to avoid calculation initially, with hope that numbers might cancel out later.

Let initial salary = x

So after 10% raise salary = 60500
ie 1.1 * x = 60500
x= 60500/1.1

Now salary after actual raise of 8% = 1.08 * x
=> 1.08 * 60500/1.1
=> 108 * 60500/110
=> 59400

Here eventually we have to first divide 6050/11... but if the actual raise was some multiplication of 11 if would have became easier to cancel out.

So always try to avoid big calculations initially and always try to cancel out terms for simplification.

Answer: D

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Re: If a certain manager had received a 10% raise instead of the 8% raise   [#permalink] 05 Sep 2017, 00:00
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