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what percent of x is y?

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by sanju09 » Sat May 10, 2014 4:02 am
If 30 percent of x is same as 40 percent of y, then what percent of x is y?
A. 30
B. 40
C. 50
D. 60
E. 75


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by [email protected] » Sat May 10, 2014 7:11 am
Its 75 i.e. E!
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by Brent@GMATPrepNow » Sat May 10, 2014 7:26 am
sanju09 wrote:If 30 percent of x is same as 40 percent of y, then what percent of x is y?
A. 30
B. 40
C. 50
D. 60
E. 75
We're told that 30 percent of x is same as 40 percent of y
In other words, 0.3x = 0.4y
Multiply both sides by 10 to get: 3x = 4y
Divide both sides by 4 to get: (3/4)x = y

So y = 3/4 of x
In other words, y = [spoiler]75%[/spoiler] of x

Answer: E

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by Brent@GMATPrepNow » Sat May 10, 2014 7:27 am
sanju09 wrote:If 30 percent of x is same as 40 percent of y, then what percent of x is y?
A. 30
B. 40
C. 50
D. 60
E. 75
We're told that 30 percent of x is same as 40 percent of y
In other words, 0.3x = 0.4y

Let's choose some NICE VALUES for x and y that satisfy the given conditions.
Let's first say that x = 40
So, the equation 0.3x = 0.4y becomes 0.3(40) = 0.4y
Simplify to get: 12 = 0.4y
Divide both sides by 0.4 to get: y = 30

So, x = 40 and y = 30 satisfies the given condition.

What percent of x is y?
30 is 75% of 40

Answer: E

Cheers,
Brent
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