Question

if the selling price of an article is 4/3 of its cost price find the gain percent​

Answer 1

Answer :-

Gain % is 33.33 %.

Solution :-

Let cost price of an article be x

Selling price of an article = 4/3 of its cost price = 4/3 * x = 4x/3

SP > CP

So Gain = SP - CP

= 4x/3 - x/1

= (4x - 3x)/3

= x/3

We know that

Gain % = Gain/CP * 100

= (x/3)/x * 100

= x/3 * 1/x * 100

= 1/3 * 100

= 100/3

= 33.33 %

Therefore Gain % is 33.33 %.

Answer 2

$\huge{\mathrak{</p><p><strong>Answer:</strong></p><p>}}$

$\large{\sf{Let \:the \:cost \:price \:of \:an \:article \:be \: y.}}$

$\large{\sf{Selling \:price\:of\:an\:article\:=\:4/3 \:of\:it's\:cost\:price\:\:=\:4/3 × x = 4x/3}}$

$\huge{\boxed{Gain\:=\:Selling\:Price\:\:-\:\:Cost \:Price}}$

$\large{\sf{Gain = 4x/3 - x/1}}$

$\large{\sf{Gain\:=\:(4x - 3x)/3}}$

$\large{\sf{Gain \:=\:x/3}}$

$\huge{\boxed{Gain \:\:percentage \:=\:Gain/C.P × 100}}$

$\large{\sf{=\: x/3 × 1/x ×100}}$

$\large{\sf{ =\:1/3 × 100}}$

$\large{\sf{=\:100/3}}$

$\large{\sf{=\:33.333}}$

$\huge{\boxed{Gain \:\:percentage \:=\:33.333}}$