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.​

Answer 1

Given:-

• A shopkeeper buys 80 articles for 2,400 and sells them for a profit of 16%.

⠀

To find:-

• The selling price of one article.

⠀

Solution:-

∴Cost price of one article = 2400/80 = 30

⠀

So,

• CP = Rs.30

⠀

⇛ Profit percentage = profit/CP × 100

⇛ 16 = Profit/30 × 100

⇛ 16 × 30/100 = Profit

⇛ 48/10 = Profit

⇛ Profit = 4.8

⠀

Hence,

• the profit is 4.8.

⠀

Now,

⇛ Profit = SP - CP

⇛ 4.8 = SP - 30

⇛ 4.8 + 30 = SP

⇛ SP = Rs.34.8

⠀

Hence,

• the selling price of one article is Rs.34.8.

Answer 2

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

• 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% .

━━━━━━━ ★ ━━━━━━━

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

• The Selling price ( SP ) of one article.

━━━━━━━ ★ ━━━━━━━

$\large\bigstar {\underline{ \underline{ \bf \color{darkgreen} {SoLuTiOn}}}} \bigstar$

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.

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

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.

Formula of profit percentage:-

╔═════════•| ✿ |•═════════╗

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

╚═════════•| ✿ |•═════════╝

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

Now , applying this formula

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

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

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

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

$\small \tt\blue➦ \bf Profit= Rs \: 4.8$

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

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

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

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

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$\\ \bigstar{ \underline{ \underline \pink{ \sf★@iTzShInNy☆}}} \bigstar$

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