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Bunuel
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Bunuel
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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Bunuel
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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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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valentinbrr
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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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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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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Bunuel
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
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