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Bunuel
If 75 reduced by x percent is 54, what is the value of x ?

(A) 9
(B) 28
(C) 36
(D) 45
(E) 72
\(\frac{(75 - 54)}{75}*100 = 28\) , Answer must be (B)
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75 is reduced by x% (of 75) to give you 54.
Lets write this as an equation

75- (75*x/100)= 54

simplify for x
x=28

Answer is B
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Bunuel
If 75 reduced by x percent is 54, what is the value of x ?

(A) 9
(B) 28
(C) 36
(D) 45
(E) 72

75 - 54 = 21.
So, 75 is reduced by 21, which means we want to find the percentage that's equivalent to 21/75

STRATEGY: Before actually performing the long division involved with dividing 21 by 75, we should check the answer choices (always check the answers choices before beginning any calculations).
When we do so, we see that they are reasonably spread apart, so we can likely apply a little bit of number sense.


I know that 25/75 = 1/3 = 33 1/3%.
Since 21 is a little bit less than 25, we can conclude that 21/75 must be a little bit less than 33 1/3%

Answer: B
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Bunuel
If 75 reduced by x percent is 54, what is the value of x ?

(A) 9
(B) 28
(C) 36
(D) 45
(E) 72
\(\frac{75*(100-x)}{100} = 54\)

Or, \(100 - x = 72\)

So, \(x = 28\), Answer must be (B)
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Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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