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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## If Sharon's weekly salary increased by 16 percent... tagged by: BTGmoderatorLU ##### This topic has 2 expert replies and 0 member replies ### Top Member ## If Sharon's weekly salary increased by 16 percent... 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. The OA is C. I did manage to find a way to solve this particular problem in time, but I really want to know how an expert works through these calculations, as they won't always be encountered in a percent situation or the answer choices may be too near. Experts, can you assist me with this PS question please? Thanks! ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: 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. The OA is C. I did manage to find a way to solve this particular problem in time, but I really want to know how an expert works through these calculations, as they won't always be encountered in a percent situation or the answer choices may be too near. Experts, can you assist me with this PS question please? Thanks! Hi LUANDATO, Let's take a look at your question. Let Sharon's weekly salary be 'x'. If her salary is increased by 16%, she would earn$406 per week.
This can be represented as:
$$x+x\left(16\%\right)=406$$
$$x+x\left(\frac{16}{100}\right)=406$$
$$x+x\left(0.16\right)=406$$
$$x\left(1+0.16\right)=406$$
$$1.16x=406$$
$$x=\frac{406}{1.16}$$
$$x=\frac{406\times100}{116}$$
$$x=350$$

The weekly salary of Sharon is $350. In the next sentence, the question states that If instead, her weekly salary were to increase by 10 percent, how much would she earn per week? Let's first find 10% increase in he weekly salary. $$=350\times\left(10\%\right)$$ $$=350\times\left(\frac{10}{100}\right)$$ $$=35$$ Therefore the total weekly salary after 10% increase will be = 350 + 35 =$385

Hence, Option C is correct.

Hope it helps.
I am available if you'd like any follow up.

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LUANDATO 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.
Test an EASY CASE.
Let the salary = 100.
Increased by 10%, the salary = 100 + 10 = 110.
Increased by 16%, the salary = 100 + 16 = 116.
Resulting ratio:
110/116 = 55/58, implying that the salary increased by 10% is equal to 55/58 of the salary increased by 16%.

Since Sharon's salary increased by 16% = 406, we get:
Sharon's salary increased by 10% = (55/58) * 406 = 55 * 7 = 385.

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