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Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

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by BTGModeratorVI » Wed Jul 29, 2020 2:51 pm

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Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%

Answer: C
Source: Economist GMAT
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Re: Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

by Brent@GMATPrepNow » Fri Jul 31, 2020 5:38 am
BTGModeratorVI wrote: ↑
Wed Jul 29, 2020 2:51 pm
 Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%

Answer: C
Source: Economist GMAT
x percent can be written as x/100

So, we get: (30/100)(40/100)(50) = (60/100)(x/100)(200)
Simplify all fractions to get: (3/10)(2/5)(50) = (3/5)(x/100)(200)
Expand: 300/50 = 600x/500
Simplify: 6 = 6x/5
Multiply both sides by 5 to get: 30 = 6x
Solve: x = 5

Answer: C

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

by Scott@TargetTestPrep » Sat Aug 01, 2020 6:40 am
BTGModeratorVI wrote: ↑
Wed Jul 29, 2020 2:51 pm
 Thirty percent of forty percent of fifty is sixty percent of what percent of two-hundred ?

A. 0.5%
B. 1%
C. 5%
D. 50%
E. 500%

Answer: C
Solution:

0.3 x 0.4 x 50 = 0.6 x p/100 x 200

6 = 120 x p/100

600 = 120p

5 = p

Answer: C

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