Question

50% of (x-y)=30% of (x+y), then what persent of x is y.​

Answer 1

y is 25% of x

Step-by-step explanation:

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

=> 50(1/100) × (x - y) = 30(1/100) × (x + y)

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

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

=> 5x - 5y = 3x + 3y

=> 5x - 3x = 3y + 5y

=> 2x = 8y

=> x/4 = y

=> (x/4) × 1 = y

=> (x/4) × 100% = y

=> x × 25% = y

=> 25% of x = y

Answer 2

⠀⠀⠀⠀RequirEd Answer

GivEn that: 50% of (x-y) = 30% of (x+y) then we have to find that what percentage of x is y.

SolutioN: y is 25% of x

Full SoluioN:

$\sf :\implies Given \: that \: 50 \% \: of \: (x-y) \: = 30 \% \: of \: (x+y) \\ \\ :\implies \sf According \: to \: question, \: now \: percentage \: = \dfrac{1}{100} \\ \\ :\implies \sf 50 \times \dfrac{1}{100} \: of \: (x-y) \: = 30 \times \dfrac{1}{100} \: of \: (x+y) \\ \\ :\implies \sf 50 \times \dfrac{1}{100} \times (x-y) \: = 30 \times \dfrac{1}{100} \times (x+y) \\ \\ :\implies \sf 50(x-y) \: = 3(x+y) \\ \\ :\implies \sf 5x - 5y \: = 3x + 3y \\ \\ :\implies \sf 5x - 3x \: = 3y + 5y \\ \\ :\implies \sf 2x \: = 8y \\ \\ :\implies \sf \dfrac{x}{y} \: = 4 \\ \\ :\implies \sf \dfrac{x}{y} \times 100 \: = y \\ \\ :\implies \sf x \times 25 \: = y \\ \\ :\implies \sf 25 \% \: of \: x \: is \: y$