Question

the selling price of an article is 4/3 of the cost price find the profit percent​

Answer 1

Answer:

Let CP = 1

SP = 4/3

Profit = 4/3 - 1= 1/3.

So % profit = (1/3) *100 = 33.33%.

Answer 2

Answer:

Given :-

• The selling price of an article is 4/3 of the cost price.

To Find :-

• What is the profit percentage.

Formula Used :-

$\clubsuit$ Profit Formula :

$\mapsto \sf\boxed{\bold{\pink{Profit =\: S.P - C.P}}}$

$\clubsuit$ Profit Percentage Formula :

$\mapsto \sf\boxed{\bold{\pink{Profit\% =\: \bigg\lgroup\dfrac{Profit \times 100}{C.P}\bigg\rgroup\%}}}$

where,

• S.P = Selling Price
• C.P = Cost Price

Solution :-

Let,

$\mapsto \bf Cost\: Price\: of\: an\: article =\: Rs\: x$

Hence, the selling price will be :

$\bigstar$ The selling price of an article is 4/3 of the cost price.

$\implies \sf Selling\: Price =\: \dfrac{4}{3} \times Cost\: Price$

$\implies \sf Selling\: Price =\: \dfrac{4}{3} \times x$

$\implies \sf\bold{\purple{Selling\: Price =\: \dfrac{4x}{3}}}$

Now, we have to find the profit :

$\implies \sf Profit =\: \dfrac{4x}{3} - x$

$\implies \sf Profit =\: \dfrac{4x - 3x}{3}$

$\implies \sf\bold{\green{Profit =\: \dfrac{x}{3}}}$

Now, we have to find the profit percentage :

$\longrightarrow \sf Profit\% =\: \Bigg\lgroup\dfrac{\dfrac{x}{3} \times 100}{x}\Bigg\rgroup\%$

$\longrightarrow \sf Profit\% =\: \Bigg\lgroup\dfrac{\dfrac{100x}{3}}{x}\Bigg\rgroup\%$

$\longrightarrow \sf Profit\% =\: \bigg\lgroup\dfrac{100x}{3} \times \dfrac{1}{x}\bigg\rgroup\%$

$\longrightarrow \sf Profit\% =\: \bigg\lgroup\dfrac{100\cancel{x}}{3\cancel{x}}\bigg\rgroup\%$

$\longrightarrow \sf Profit\% =\: \bigg\lgroup\dfrac{100}{3}\bigg\rgroup\%$

$\longrightarrow \sf\bold{\red{Profit\% =\: 33.33\%}}$

${\small{\bold{\underline{\therefore\: The\: profit\: percentage\: of\: an\: article\: is\: 33.33\%\: .}}}}$