Question

If x% of y is equal to z then what percentage of z is x?



a. Y2 /100



b. X 2 /100



c. 1002 /y



d. 1002 /x

Answer 1

the answer is (1000/y)%

solution:

x*y/100 = z as per mentioned in the question:

100z=xy

z*100/y = x

(lets multiply numerator and denominator by 100)

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

so finally z*(10000/y)/100=x

lets check this with an example:

x=800

y=25

so , 25% of 800 is 200

z=200

so (10000/y)% of z should be equal to x,

200 (*10000/(25*100)) should be equal to 800

200 * 10000/2500

or 200*4=800

check it with another example

x=80

y=20

so 20% of 80 is 16.

Now 10000/y % of 16 should be equal to 80.

lets solve it

16*(10000/20*100) should be equal to 80

16* (10000/2000)

16*5 =80 .

which proves : 10000/y % of z is equal to x


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Answer 2

The answer is

=

$\frac{1000}{y}$

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