Question

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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

No. of articles = 80

Cost Price of articles = Rs. 2,400

And Profit = 16%

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

∴ Cost price of articles is Rs.1, then selling price = 116/100

∴ Cost price of articles is Rs.2400, then selling price = 116/100 × 2400 = Rs.2784

Hence, Selling Price of 80 articles = Rs.2784

Therefore Selling Price of 1 article

= 2784/80 = Rs.34.80

:)

Answer 2

Given :

• Cost price of 80 Articles = 2400
• Profit % = 16%

To Find :

The selling price of the each article.

Solution :

Given, CP of one article = 2400

so, CP of one article = 2400/80

= 30

So, we Know the formula of SP is :

Cp× (100+profit%/100)

Hence, SP of each article

= CP × (100+profit%/100)

= CP × (100+16/100)

= 30×116/100

= 174/5

= 34.8

Hence, the SP of each = 34.8 rupees

Additional Information :

• SP = Cp × (100+profit%/100)
• SP = Cp × (100-loss%/100)
• CP = SP × (100/100-Loss)
• CP = SP × (100/100+profit%)