Question

Amina bought a book₹75 and sold it at a loss of 15% find the selling price of book​?

Answer 1

Given :-

• Amina bought a book ₹75 and sold it at a loss of 15%.

To Find :-

• Find the selling price of book

Solution :-

~Here, we’re given the cost price ( CP ) of the book ( amount for which the book was bought ) and it was sold at the loss of 15 % . We need to find the selling price of that book ( amount for which the book was sold ) by putting the values in the formula of finding the selling price ( SP )  

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As we know that ,

$\boxed{\sf{ \maltese \;\; SP = \dfrac{ ( 100 -loss \%) \times CP }{100} }}$

Where,

• SP we need to find
• Loss % is 15 %
• CP is Rs. 75  

Finding the selling price :-  

$\sf \implies \dfrac{( 100 - 15 ) \times 75}{100}$

$\sf \implies \dfrac{85 \times 75}{100}$

$\sf \implies \dfrac{6375}{100}$

$\boxed{\bf{ \bigstar \; Selling\;price = Rs.\;63.75}}$

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Hence,  

• The selling price ( SP ) of the book is Rs. 63.75

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Answer 2

$\bigstar$ According To Question ;

• Cost Price of Book is equal to ₹ 75 and The Loss Percent is 15 %
• We need to find the Selling Price of Book

$\rule{330}{2}$

We know Loss Percent can be calculated by Finding value of Cost Price - Selling Price and dividing it by Cost Price or Loss Percent can be calculated by Finding Loss and dividing it by Cost Price

$\longrightarrow\textsf{Loss Percent = (Cost Price - Selling Price)/Cost Price}$

Substitute the values that are known. We know that : Cost Price is 75 and Loss Percent is 15 % (Values given in Question)

$\longrightarrow\sf{15\% = (75 - Selling\: Price)/75}$

Multiply Both Sides of the Equation by 75

$\longrightarrow\sf{15\%\times 75 = (75 - Selling\: Price)/75\times 75}\longrightarrow\sf{15\%\times 75 = 75 - Selling\: Price}$

We know that : $\sf{a\% = a/100}$ . Now Here a = 15, Hence $\sf{15\% = 15/100}$

$\longrightarrow\sf{15/100\times 75 = 75 - Selling\: Price}$

$\longrightarrow\sf{15/4\times 3 = 75 - Selling\: Price}\longrightarrow\sf{45/4 = 75 - Selling\: Price}$

Subtract 75 from Both Sides of the Equation

$\longrightarrow\sf{45/4 - 75 = 75 - Selling\: Price - 75}\longrightarrow\sf{45/4 - 300/4 = - Selling\: Price}$

$\boxed{\longrightarrow\sf{Selling\: Price = -(45/4 - 300/4) = -(-255/4) = 255/4 = 63.75}}$

Hence Selling Price of Book is equal to ₹ 63.75