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# If Sharon's weekly salary increased by 16 percent, she would earn $406 SORT BY: Tags: Show Tags Hide Tags Math Expert Joined: 02 Sep 2009 Posts: 94412 Own Kudos [?]: 642256 [1] Given Kudos: 86318 Intern Joined: 03 Feb 2016 Posts: 14 Own Kudos [?]: 15 [0] Given Kudos: 66 Location: China Retired Moderator Joined: 30 Jan 2015 Posts: 630 Own Kudos [?]: 2433 [0] Given Kudos: 1131 Location: India Concentration: Operations, Marketing GPA: 3.5 VP Joined: 31 Oct 2013 Posts: 1259 Own Kudos [?]: 1192 [0] Given Kudos: 635 Concentration: Accounting, Finance GPA: 3.68 WE:Analyst (Accounting) If Sharon's weekly salary increased by 16 percent, she would earn$406 [#permalink]
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] 1 Kudos 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) Intern Joined: 02 Dec 2016 Posts: 2 Own Kudos [?]: [0] Given Kudos: 61 Re: If Sharon's weekly salary increased by 16 percent, she would earn$406 [#permalink]
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] 1 Kudos 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... Manager Joined: 20 Jul 2018 Posts: 68 Own Kudos [?]: 77 [0] Given Kudos: 19 GPA: 2.87 Re: If Sharon's weekly salary increased by 16 percent, she would earn$406 [#permalink]
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 Intern Joined: 17 Aug 2018 Posts: 16 Own Kudos [?]: 6 [0] Given Kudos: 41 Re: If Sharon's weekly salary increased by 16 percent, she would earn$406 [#permalink]
In just one step if you can do quick calculations..you can get the answer

406/116*110=350

Posted from my mobile device
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Re: If Sharon's weekly salary increased by 16 percent, she would earn $406 [#permalink] 1 Kudos Expert Reply 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 We can create the equation: 1.16n = 406 n = 350 Therefore, if her salary were increased by 10%, she would earn 1.1 x 350 = 385 dollars. Answer: C Re: If Sharon's weekly salary increased by 16 percent, she would earn$406 [#permalink]
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