Question

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

Answer 1

Answer:

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

5(x - y) = 3(x+y)

2x = 8y

x = 4y

(y/x)*100% = (y /4y)*100% = 25%

Answer 2

GivEn:

• 50% of ( x - y ) = 30% of ( x + y )

To finD:

• What percent of x is y

Solution:

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

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

=> $\small{\bf{\frac{1}{2} \times (x - y) = \frac{3(x + y)}{10}}}$

=> $\small{\bf{\frac{x - y}{2} = \frac{3( x+y) }{10} }}$

=> $\small{\bf{x - y \: = \frac{3(x+y) \times 2}{10} }}$

=> $\small{\bf{ x - y = \frac{3(x + y)}{5} }}$

=> $\small{\bf{ 5(x - y) = 3(x + y)}}$

=> $\small{\bf{ 5x - 5y \: = 3x + 3y}}$

=> $\small{\bf{ 5x - 3x = 3y + 5y}}$

=> $\small{\bf{ 2x = 8y}}$

=> $\small{\bf{ \frac{x}{y} = \frac{8}{2} }}$

=> $\small{\bf{ \frac{x}{y} = 4}}$

=> $\small{\bf{ y =\: \frac{1}{4}x}}$

=> $\small{\boxed{\purple{\bf{y=\: \frac{1}{4}x }}}}$

Now,

$\small{\bf{ y =\: \frac{1}{4}×100×x}}$

=> $\small{\boxed{\bf{\pink{y\: = \: 25 \: percent\: of \: x }}}}$