x % of y is equivalent to y % of:
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Simple example x = 1 0 0 , y = 1 :
1 0 0 % o f 1 = 1 = 1 % o f 1 0 0
You can't prove a general result just by stating one example.
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No, but it gives you a pretty good guess to look at further.
I never said I am proving a general result ;)
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But that's the point of the problem. When posting, the box where you type says "write a solution," which you didn't do.
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Ans. x
(X/100) Y=(XY/100)=(Y/100) X
5% of 100 is 5 and 100% of 5 is 5
@darshan s You have only demonstrated that it's true for 1 example.You have to prove that it's true for all values
x% y = y% a => x y% = a y% => x=a
x % of y = 1 0 0 x ⋅ y
1 0 0 x y
1 0 0 y ⋅ x
y % of x
x % of y = y % of x
x% of y =xy/100=yx/100= y% of x
x% expressed as a fraction is x/100. Therefore x% of y is x times y all divided by 100. In similar fashion, y% = y/100. Ergo, the factor to make equivalency is multiplying y/100 by x.
X% of y= (X/100)(y)=(y/100)(X)=Y% of X
x % o f y = 1 0 0 x y a n d y % o f x = 1 0 0 x y
{ x % of y = y % of, say something a } so covert all percentages into fractions then 1 0 0 x * y = y * a Now we will convert all fractions into"unit fraction" so 1 0 0 1 * x * y = 1 0 0 1 * y * a now we will do 1 0 0 y in both equations so equation will be looking like this 1 0 0 y * x = 1 0 0 y * a so both balance scales are equal and in both balance scales there is one thing equal that is 1 0 0 y so x must be = a so finally equation will be looking like this x % of y = y % * x .😊
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x % × y = 1 0 0 x y = 1 0 0 x y = x × y %