Question

if 50% of x - y = 30% of X + Y then what percent of X is Y

Answer 1

your answer is 25%. take a look at picture.

Answer 2

Answer:

$25\% \: of \: x\: is\: y$

Step-by-step explanation:

$50\% \: of\: (x-y)\\=30\% \: of \: (x+y)$

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

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

$\implies 5(x-y)=3(x+y)$

$\implies 5x-5y=3x+3y$

$\implies 5x-3x = 3y+5y$

$\implies 2x = 8y$

$\implies x = \frac{8y}{2}$

$\implies x = 4y$

$\implies y = \frac{1}{4}\times x$

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

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

$\implies y = 25\%\: of \: x$

Therefore,

$25\% \: of \: x\: is\: y$

•••♪