Question

58. An article is purchased for p 7,500
and sold for P 8,400. The profit
percent is​

Answer 1

$\large\underline{\sf{Given- }}$

Cost Price of article = P 7, 500

Selling Price of an Article = P 8, 400

$\large\underline{\sf{To\:Find - }}$

$\red{\boxed{\rm :\longmapsto\: \: \rm{ \: \: Profit \: \% \: \: \: }}}$

$\begin{gathered}\large{\sf{{\underline{Formula \: Used - }}}}  \end{gathered}$

$\red{\boxed{ \rm{ \: Profit \: = \: Selling \: Price \: - \: Cost \: Price \: \: }}}$

$\red{\boxed{ \rm{ \: Profit\% = \frac{Profit}{Cost \: Price} \times 100\% \: \: }}}$

$\large\underline{\sf{Solution-}}$

Given that,

➢ Cost Price of article = P 7, 500

➢ Selling Price of an Article = P 8, 400

We know,

$\blue{\bf :\longmapsto\:Profit = Selling \: Price - Cost \: Price}$

So,

$\rm :\longmapsto\:Profit = 8400 - 7500$

$\bf\implies \:Profit = 900$

Now, we have to find the profit %

We know,

$\green{\bf :\longmapsto\:Profit\% = \dfrac{Profit}{Cost \: Price} \times 100\% }$

On substituting the values, we get

$\rm :\longmapsto\:Profit\% = \dfrac{900}{7500} \times 100\%$

$\rm :\longmapsto\:Profit\% = \dfrac{9}{75} \times 100\%$

$\rm :\longmapsto\:Profit\% = \dfrac{3}{25} \times 100\%$

$\bf :\longmapsto\:Profit\% \: = \: 12\%$

More to Know :-

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{(100+Gain\%) (or) \: (100 - Loss\%)}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$

Answer 2

Concept

The profit formula aids in calculating the gain in any financial transaction as well as the profit made by selling a specific product, which is typically done in a business. The following is the formula to determine the profit:

Selling price (S.P.) minus cost price equals profit (C.P.). The amount of profit expressed as a percentage is known as profit percentage (percent). The formula to calculate the profit percentage is (Profit/Cost Price) × 100 because the profit is based on the cost price.

Given

Given that

Selling price of an article = P 8,400.

Cost price of the article = P 7,500.

Find

We have to determine the profit percentage of the article.

Solution

Now, profit = 8400 - 7500 = 900

Then,the profit percentage = (900/7500) × 100 = 0.12 × 100 = 12%

Therefore, the profit percentage is 12%.

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