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If Sharon's weekly salary increased by 16 percent, she would earn $406

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If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 03 Aug 2018, 04:38
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C
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Question Stats:

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If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?

(A) $374
(B) $382
(C) $385
(D) $392
(E) $399

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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 03 Aug 2018, 05:06
let the initial salary be x
x*1.16 = 406
x = 350
now the salary is increased by 10%
so x*1.10 = 385

Answer - C

Is it correct?
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 03 Aug 2018, 05:49
116/100 of X = 406
X = 40600 / 116
X = 350

Again,
110/100 of 350 = 110/ 100 *350 = 385

Hence, C.
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If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 04 Aug 2018, 01:44
Bunuel wrote:
If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?

(A) $374
(B) $382
(C) $385
(D) $392
(E) $399



This one can be translated as follows:


116% represents 406

1% represents 406/116%

110% represents (406/116%)*110%

= 385

So the best answer is C.
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 04 Aug 2018, 06:57
Bunuel wrote:
If Sharon's weekly salary increased by 16 percent, she would earn $406 per week. If instead, her weekly salary were to increase by 10 percent, how much would she earn per week?

(A) $374
(B) $382
(C) $385
(D) $392
(E) $399

Sharon's original Salary is \(\frac{406}{116}*100 = 350\)

If Sharon's salary is increased by 10% it will be Sharon's original Salary is \(\frac{350*110}{100} = 385\), Answer must be (C)
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 18 Aug 2018, 05:35
Hi guys,

I was wondering how you do the mental math here. I couldn't quickly see that 116*3,5=406. Is there some kind of shortcut?

Thanks!
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 18 Aug 2018, 07:27
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valentinbrr wrote:
Hi guys,

I was wondering how you do the mental math here. I couldn't quickly see that 116*3,5=406. Is there some kind of shortcut?

Thanks!


It will come with practice dear...

116*3.5

= \(116*\frac{7}{2}\)

= \(58*7\)

= \(50*7 + 8*7\)

= \(350 + 56\)

= \(400 + 6\)

= \(406\), Hope this helps...
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 18 Aug 2018, 07:55
let weekly salary is S
so
S*(1.16) = 406
S = 350
if salary were to increase by 10% then
S*(1.10) = $385

Answer is C
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406  [#permalink]

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New post 18 Aug 2018, 08:25
In just one step if you can do quick calculations..you can get the answer

406/116*110=350

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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406 &nbs [#permalink] 18 Aug 2018, 08:25
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If Sharon's weekly salary increased by 16 percent, she would earn $406

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