Question

A shopkeeper buys 80 articles for ₹ 2400 and sells them for a profit of 16% find the selling price of the articles

Find The SP Of All Articles Not One
SP With His Profit = ?

Answer 1

$\bigstar$ According To Question ;

• Cost Price of 80 articles is ₹ 2400 and The Profit Percent is 16 %
• We need to find the Selling Price of All Articles and the Profit

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We know Profit Percent can be calculated by Finding value Selling Price - Cost Price and dividing it by Cost Price or Profit Percent can be calculated by Finding Profit and dividing it by Cost Price (Since Profit = SP - CP)

$\longrightarrow\sf{Profit\:Percent = (Selling\: Price - Cost\: Price)/Cost \:Price}$

Substitute the values that are known. We know that : Cost Price is 2400 and Profit Percent is 16 % (Values given in Question)

$\longrightarrow\sf{16\% = (Selling\: Price - 2400)/2400}$

Multiply Both Sides of the Equation by 2400

$\longrightarrow\sf{16\%\times 2400 = (Selling\: Price - 2400)/2400\times 2400}$

$\longrightarrow\sf{16\%\times 2400 = Selling\: Price - 2400}$

We know that : $\sf{a\% = a/100}$ . Now Here a = 16. Hence $\sf{16\% = 16/100}$

$\longrightarrow\sf{16/100\times 2400 = Selling\: Price - 2400}$

$\longrightarrow\sf{16\times 24 = Selling\: Price - 2400}\longrightarrow\sf{384 = Selling\: Price - 2400}$

Add 2400 to Both Sides of the Equation

$\longrightarrow\sf{384 + 2400 = Selling\: Price - 2400 + 2400}$

$\boxed{\longrightarrow\sf{Selling\: Price = 384 + 2400 = 2784 }}$

We know that : Profit = Selling Price - Cost Price

$\boxed{\longrightarrow\textsf{Profit = Selling Price - Cost Price = 2784 - 2400 = 284}}$

Hence SP of 80 articles is equal to ₹ 2784 and Profit is Equal to ₹ 284