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William gets two successive hikes of 10% and 20% in his sala

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Bijesh
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William gets two successive hikes of 10% and 20% in his sala [#permalink] New post   02 Jul 2019, 04:01
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William gets two successive hikes of 10% and 20% in his salary, while his boss Kim gets a 10% hike, then William's salary becomes \(\frac{3}{5}\) of the salary of his boss Kim. If the difference between their original salaries is $30000, what is the current salary of Kim?

A) $45000

B) $60000

C) $66000

D) $90000

E) $160000


SOURCE : Gre Book 1 from Jamboree
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C
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Re: William gets two successive hikes of 10% and 20% in his sala [#permalink] New post   12 May 2020, 23:24
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Bijesh wrote:
William gets two successive hikes of 10% and 20% in his salary, while his boss Kim gets a 10% hike, then William's salary becomes \(\frac{3}{5}\) of the salary of his boss Kim. If the difference between their original salaries is $30000, what is the current salary of Kim?

A) $45000

B) $60000

C) $66000

D) $90000

E) $160000


SOURCE : Gre Book 1 from Jamboree


Let the salaries of William and Kim be $w and $k respectively

William's salary after hike = 110% of 120% of w = $(1.1 x 1.2 x w)
Kim's salary after hike = 110% of k = $1.1k

Since William's salary is now 3/5 of Kim:
1.1 x 1.2 x w = 3/5 x 1.1k

=> 5 x 1.2w = 3k

=> k = 2w

Difference between their salaries = k - w = w = 30000

=> k = 60000
=> New salary of Kim = 1.1k = $66000

Answer C
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Re: William gets two successive hikes of 10% and 20% in his sala [#permalink] New post   15 Feb 2024, 06:58
Hello from the GRE Prep Club BumpBot!

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Re: William gets two successive hikes of 10% and 20% in his sala [#permalink]
15 Feb 2024, 06:58
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