x is 40% of y. 50% of y is 40

Question

If x is 40% of y and 50% of y is 40, 16 is what percent of x?

A. 30%
B. 50%
C. 20%
D. 55%
E. 60%

sashiim20 · Answer

Let unknown percent be " a ".

50% of y is 40==>  \frac{50}{100} * y = 40 ==> y = 80

x is 40% of y ==>  x = \frac{40}{100} * 80 ==> x = 32

16 = \frac{a}{100} * x ==> \frac{a}{100} * 32

a = \frac{1600}{32} = 50% . Answer (B)...

elegantm · Answer

If 50% of y is 40.
Then 100% of y is 80 
So y =80
x = 40% of 80 = 32
16 is what % of 32 = 16/32 = 1/2= 50%
Answer B

TimeTraveller · Answer

x = 0.4y 
 0.5y = 40 . So,  y = 80 , hence  x = 32 .
 16 = \frac{?x}{100} 
 ? = \frac{1600}{x} = \frac{1600}{32} = 50 . Ans - B.

Abhishek009 · Answer

Breakdown and solve -
 
So,  y = 80 
 
So,  x = 32 
 
  So, 16 will be 50% of x, answer must be (B)

JeffTargetTestPrep · Answer

We are given that 50% of y is 40. Thus:
 
0.5y = 40
 
y = 80
 
Since x is 40% of y:
 
x = 0.4(80)
 
x = 32
 
Thus, 16/32 = 50%.
 
Answer: B

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