Question

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

Answer:

The Selling price of each article is Rs. 34.8

Step-by-step explanation:

Given :

Number of articles = 80

Cost Price = Rs. 2400

To find :

The selling price each article

Solution :

Here -

• Cost Price (80 articles) = Rs. 2400
• Profit % = 16%
• Selling Price = ??

★ $\textsf{\underline{\underline{Cost Price of each article - }}}$

Divide the cost of total articles by the number of articles.

$\sf{\implies} \: \dfrac{2400}{80} \\ \\ \sf{\implies} \: 30$

Cost Price of one article = Rs. 30

$\rule{300}{1.5}$

★ $\textsf{\underline{\underline{Selling Price of each article - }}}$

• Cost Price = 30
• Profit = 16%

$\bigstar \: {\boxed{\sf\:{SP = \frac{(100 + profit\%)} {100} \times CP}}}$

$\sf{\implies} \:SP = \dfrac{(100 + 16)}{100} \times 30 \\ \\ \sf{\implies} \:SP = \dfrac{116}{100} \times 30 \\ \\ \sf{\implies} \:SP = \dfrac{116}{10} \times 3 \\ \sf{\implies} \:SP = \dfrac{348}{10} \\ \\ \sf{\implies} \:SP = 34.8$

$\therefore$ The Selling price of each article is Rs. 34.8

Answer 2

Solution:-

Since CP of 80 articles = Rs 2400

Profit% = 16 %

Profit in terms of use rupess

$= </strong><strong>R</strong><strong>s \: 2400 \times \frac{16}{100} \\ \bold \: </strong><strong>R</strong><strong>s \: 384$

Since SP = CP + Profit

SP of 80 articles= Rs( 2400+384)

= Rs 2784

SP of one article= Rs 2784/80= Rs 34.8

Hence SP of 1 article is Rs 34.8