If xyz 0 and x percent of y percent of z is t, then z =

Question

If xyz ≠ 0 and x percent of y percent of z is t, then z =

(A)  \frac{100t}{xy}

(B)  \frac{1,000t}{xy}

(C)  \frac{10,000t}{xy}

(D)  \frac{xy}{10,000t}

(E)  \frac{10,000xy}{t}

nkin · Answer

(x/100)*(y/100)*z = t

z = (10,000*t) / (x*y)

Option C

dave13 · Answer

\frac{x}{100}*\frac{y}{100}*z=t

\frac{xyz}{10000} = t

xyz= 10000t  (divide both sides by xy)

z = \frac{10000t}{xy}

pushpitkc   Bunuel   GMATPrepNow   chetan2u  how to solve this question via testing / plugging in values ? couldnt wrap my mind around this method

BrentGMATPrepNow · Answer

This is for  dave13

GIVEN: x percent of y percent of z is t

Find values for t, x, y and z that satisfy the statement. 
How about: 20 percent of 50 percent of 60 is 6
So, one solution is x = 20, y = 50, z = 60 and t = 6

So, when x = 20, y = 50 and t = 6, then  z = 60

Now let's plug x = 20, y = 50 and t = 6 into each answer choice and see which one evaluates to be  60

(C)10,000t/xy = 10,000(6)/(20)(50) = 60,000/1,000 =  60 
BINGO!!

Answer: C

Cheers,
Brent

chetan2u · Answer

Hi,
I would take 100% of 100% of t should give me t as the answer..
So X =100 and y = 100..
The choice should give me t as the answer..
Only C gives that answer => 10000t/(100*100) = t

dollytaneja51 · Answer

Posted from my mobile device

Archit3110 · Answer

Best way to solve this question is to write in sequence as described in question :

X% y= (x/100)*y
(x/100)*y%z= (x*y/10^4)*z
(x*y/10^4)*z=t
take values from RHS to LHS we get
z=t*10^4/x*y option C

bumpbot · Answer

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If xyz 0 and x percent of y percent of z is t, then z =

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If xyz 0 and x percent of y percent of z is t, then z =

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