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

Question

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

ravigupta2912 · Answer

We basically need to find what is 21 as a % of 75. It clearly has to be closer to 30% but under it since 30% of 75 would be greater than 21. We're only left with option B.

TestPrepUnlimited · Answer

The reduction is 21 which refers to the x percent that was reduced. Then as a percentage, the reduction is 21/75 = 7/25 = 7*4% = 28%.

Ans: B

Abhishek009 · Answer

\frac{(75 - 54)}{75}*100 = 28  , Answer must be (B)

vastlyoutnumbered · Answer

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

BrentGMATPrepNow · Answer

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

Abhishek009 · Answer

\frac{75*(100-x)}{100} = 54

Or,  100 - x = 72

So,  x = 28 , Answer must be (B)

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

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

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