Question

if 20% of x is the same as 30% of y,what percentage of x is y

step by step solving​

Answer 1

❏ Solution:-

Q) if 20% of x is the same as 30% of y,what percentage of x is y ?

Ans)

➾Now, 20% of x is the same as 30% of y.

∴ $\sf\longrightarrow 20\%\:of \:x=30\%\:of \:y$

$\sf\longrightarrow \frac{\cancel{20}}{\cancel{100}}\times\:x=\frac{3\cancel0}{10\cancel0}\times\:y$

$\sf\longrightarrow \frac{1}{\cancel{5}}\times\:x=\frac{3}{10}\times \:y$

$\sf\longrightarrow 10\times\:x=5\times \:3y$

$\sf\longrightarrow 10x=15y$

$\sf\longrightarrow \frac{x}{y}=\frac{\cancel{15}}{\cancel{10}}$

$\sf\longrightarrow \frac{x}{y}=\frac{3}{2}$

$\sf\longrightarrow\boxed{ \red{y=\frac{2x}{3}}}$

$\sf\longrightarrow\boxed{ \red{y=\frac{200}{3}\%\:of\:x}}$

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$\underline{ \huge\mathfrak{hope \: this \: helps \: you}}$

#answerwithquality & #BAL

Answer 2

Answer:

Step-by-step explanation:

20%x=30%y

20x/100=30y/100

20x=30y

x/y=30/20

x/y=3/2 => x=3y/2

Let a% of x is y

ax/100=y -i

Putting x=3y/2 in eqation i

a% *(3y/2)=y

a%=2y/3y

a/100=2/3

a=200/3

Hence 200/3 % of x is y

May this help you

#answerwithquality & #BAL