Question

3. A shopkeeper buys 80 articles for ₹ 2,400 and sells them for a profit of 16%. Find the selling price of one article.
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Answer 1

Answer:

$\huge \mathcal{ \fcolorbox{aqua}{azure}{ \blue{ANSWER}}}$

No. of articles = 80

Cost Price of articles = Rs. 2,400And Profit

= 16%

\because∵ Cost price of articles is Rs.100, then selling price = 100 + 16 = Rs.116

\therefore∴ Cost price of articles is Rs.1, then selling price = \frac{116}{100}

100

116

\therefore∴ Cost price of articles is Rs.2400, then selling price = \frac{116}{100}\times2400=Rs.\ 2784

100

116

×2400=Rs. 2784

Hence, Selling Price of 80 articles = Rs.2784

Therefore Selling Price of 1 article

= \frac{2784}{80}=Rs.\ 34.80

80

2784

=Rs. 34.80

Answer 2

Answer:

$\large\bigstar {\underline{ \underline{ \bf \pink{GivEn}}}} \bigstar$

• A shopkeeper buys 80 articles.

• The cost of the 80 articles is 2,400

• Then the shopkeeper sells the articles for a profit of 16%

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$\large\bigstar {\underline{ \underline{ \bf \red{To \: \: FiNd}}}} \bigstar$

• The Selling price ( SP ) of one article.

$\begin{gathered}\\\end{gathered}$

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$\large\bigstar {\underline{ \underline{ \bf \blue{SoLuTiOn}}}} \bigstar$

As the query said that the shopkeeper buys 80 articles and the articles cost is 2,400. So we will find out the cost price of one article.

$\begin{gathered}\\\end{gathered}$

$\begin{gathered}\small \bf\therefore \:Cost \: price \: of \: \green{ one \: article }\: \tt\bf: \bold\longrightarrow \: \: \frac{240 \cancel0}{8 \cancel0} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \small \bf\bold: \longrightarrow \:Rs \: 30\end{gathered}$

Hence, we got the Cost price of one article as Rs 30 .

It also says that the Profit Percentage of the article is 16. Now we have to find the profit made by one article by applying the formula of profit percentage.

$\begin{gathered}\\\end{gathered}$

Formula of profit percentage:-

╔═════════•| ✿ |•═════════╗

$\begin{gathered}\bigstar \small \bf{ \underline{ \boxed { \bf Profit \: percentage = \frac{Profit}{CP} \times 100 }}}\bigstar \\\end{gathered}$

╚═════════•| ✿ |•═════════╝

$\begin{gathered}\\ \\\end{gathered}$

$\begin{gathered}\small\begin{gathered}\frak \purple{we \: know} \begin{cases} & \sf \red{Profit \: Percentage \longrightarrow 16\: } \\ & \sf{} \\ & \sf \red{CP \longrightarrow Rs \: 30 \: } \end{cases}\\ \\\end{gathered}\end{gathered}$

Now , applying this formula

$\begin{gathered}\small \tt\blue➦ { \bf Profit \: percentage = \frac{Profit}{CP} \times 100 } \\\end{gathered}$

$\begin{gathered}\small\tt\blue➦ { \bf 16 = \frac{Profit}{3 \cancel0} \times 10 \cancel0 } \\\end{gathered}$

$\begin{gathered}\small \tt\blue➦ { \bf Profit = \frac{ 16 \times 3}{10} } \\\end{gathered}$

$\begin{gathered}\small \tt\blue➦ { \bf Profit \: = \frac{48}{10} } \: \\\end{gathered}$

$\begin{gathered}\small \tt\blue➦ \bf Profit= Rs \: 4.8 \\\end{gathered}$

Hence, the shopkeeper got a profit of Rs 4.8 for one article.

$\begin{gathered}\\ \\\end{gathered}$

Now, we will find out the selling price ( SP ) of one article by applying the formula Profit = Selling price - Cost price.

$\begin{gathered}\\\end{gathered}$

$\begin{gathered}\\ \small \bf {we \: know, } \\ \\ \bigstar\bf{ \underline {\boxed{\: \bf \purple{Profit = Selling \: price - Cost\: price }}}} \bigstar\\ \\ \small \bf : \longrightarrow4.8= Selling \: price \: - \: 30 \\ \\ \small \bf : \longrightarrow 4.8+30 = Selling \: price \\ \\ \small \bf : \longrightarrow Selling \: price= 4.8 + 30 \\ \\ \small \bf : \longrightarrow Selling \: price = \: Rs \: 34.8 \\\end{gathered}$

Hence, the selling price of one article is Rs 34.8 .

$\begin{gathered}\\\end{gathered}$

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$\begin{gathered}\\ \bigstar{ \underline{ \underline \pink{ \sf★@llMsCutiepiell★}}} \bigstar \\ \\\end{gathered}$