Question

if the selling price of an article is 4/3 of the cost price,then the profit percent is

Answer 1

cp=x
sp=4x/3
profit=sp-cp
=4x/3-x
=x/3
profit%=profit×100/cp
=x/3×100/x
=100/3
=33.33%

Answer 2

Answer:

profit = $33\frac{1}{3}\%$

Step-by-step explanation:

Let

cost price of an article = Rs x

Selling price (s.p)= $\frac{4}{3} \:of \: the \: cost\:price\\=\frac{4}{3}\times x \\= \frac{4x}{3}$

profit = s.p - c.p

= $\frac{4x}{3}-x$

=$\frac{4x-3x}{3}$

= $\frac{x}{3}$

Now,

$profit\: percent \\= \frac{profit}{cost\: price }\times 100\\=\frac{\frac{x}{3}}{x}\times 100\\=\frac{x\times 100}{3\times x}\\=\frac{100}{3}\\=33\frac{1}{3}$

Therefore,

profit = $33\frac{1}{3}\%$

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