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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 =  [#permalink]

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21 Nov 2018, 06:39
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15% (low)

Question Stats:

89% (00:39) correct 11% (01:29) wrong based on 70 sessions

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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) $$\frac{10,000xy}{t}$$

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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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21 Nov 2018, 06:48
(x/100)*(y/100)*z = t

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

Option C
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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21 Nov 2018, 08:13
HKD1710 wrote:
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) $$\frac{10,000xy}{t}$$

Project PS Butler : Question #31

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

$$\frac{xyz}{10000} = t$$

$$xyz= 10000t$$ (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
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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21 Nov 2018, 08:23
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Top Contributor
HKD1710 wrote:
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) $$\frac{10,000xy}{t}$$

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
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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21 Nov 2018, 08:28
1
dave13 wrote:
HKD1710 wrote:
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) $$\frac{10,000xy}{t}$$

Project PS Butler : Question #31

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

$$\frac{xyz}{10000} = t$$

$$xyz= 10000t$$ (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

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
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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21 Nov 2018, 13:34
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z =  [#permalink]

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24 Nov 2018, 01:12
HKD1710 wrote:
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) $$\frac{10,000xy}{t}$$

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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
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Re: If xyz ≠ 0 and x percent of y percent of z is t, then z = &nbs [#permalink] 24 Nov 2018, 01:12
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# If xyz ≠ 0 and x percent of y percent of z is t, then z =

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