Question

if 50% of (x-y) =30% of (X+y),then what percent of X is y​

Answer 1

Explanation:

Answer:

25\% \: of \: x\: is\: y25%ofxisy

Step-by-step explanation:

\begin{gathered}50\% \: of\: (x-y)\\=30\% \: of \: (x+y)\end{gathered}

50%of(x−y)

=30%of(x+y)

\begin{gathered}\implies \frac{50}{100}\times (x-y)\\=\frac{30}{100}\times (x+y)\end{gathered}

⟹

100

50

×(x−y)

=

100

30

×(x+y)

/* Multiply both sides by 10, we get */

\implies 5(x-y)=3(x+y)⟹5(x−y)=3(x+y)

\implies 5x-5y=3x+3y⟹5x−5y=3x+3y

\implies 5x-3x = 3y+5y⟹5x−3x=3y+5y

\implies 2x = 8y⟹2x=8y

\implies x = \frac{8y}{2}⟹x=

2

8y

\implies x = 4y⟹x=4y

\implies y = \frac{1}{4}\times x⟹y=

4

1

×x

\implies y = \frac{1}{4}\times 100\%\: of\: y⟹y=

4

1

×100%ofy

\implies y = \left(\frac{100}{4}\right)\%\times x⟹y=(

4

100

)%×x

\implies y = 25\%\: of \: x⟹y=25%ofx

Therefore,

25\% \: of \: x\: is\: y25%ofxisy

Answer 2

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50% of (x -y) = 30 of (x +y)

50 (x -y) = 30 (x +y)

50x - 50y = 30x + 30y

20x = 80y

y/x = 20/80

% of x is y = (20*100)/80 = 25%.

answer = 25%

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