Question

if the cost of the prices of a book 73% of the selling price what is the profit percent

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Answer 1

36.98%

Explanation:

Let the selling price of the book be x.

Then according to question, Cost Price of the book is 73% of selling price,

Cost Price = 73% of Selling Price

Cost Price = (73/100) × x

Cost Price = 73x/100

We know that,

Profit = Selling Price - Cost Price

= x - 73x/100

= (100x - 73x)/100

= 27x/100.

We know that,

$\text{Profit}\%=\frac{\text{Profit}\times100}{\text{Cost Price}}\\\;\\\text{Profit}\%=\frac{\frac{27x}{100}\times100}{\frac{73x}{100}}\\\;\\\text{Profit}\%=\frac{27}{73}\times100\\\;\\\text{Profit}\%=36.98\%$

Answer 2

$\underline{\rule{269}{2}}$

♦ GIVEN ♦

The cost price(C.P.) of a book is 73% of the selling price(S.P.) of the book.

♦ TO FIND ♦

The profit percent.

♦ SOLUTION ♦

Let the S.P. of the book be x.

A/q,

C.P. = 73% of S.P.

$\displaystyle{\sf{\implies C.P.=\frac{73}{100}\times x }}$

$\displaystyle{\sf{\implies C.P.=\frac{73x}{100}}}$                           ...(i)

Now, we know,

Profit = S.P. - C.P.

Proceeding further,

$\displaystyle{\sf{Profit=x-\frac{73x}{100} }}\\\\\\\displaystyle{\sf{\implies Profit=\frac{100x-73x}{100} }}\\\\\displaystyle{\sf{\implies Profit=\frac{27x}{100} }}$               ...(ii)

We also know that,

$\displaystyle{\sf{Profit\ percent=\frac{Profit \times100}{C.P.} }}$

$\displaystyle{\sf{\implies Profit\ percent=\frac{\frac{27x}{100} \times100}{\frac{73x}{100} } }}\:\:\:\:\:\:\:\:\:\: \sf{\cdots[from\ (i)\ and\ (ii)]}\\\\\\\displaystyle{\sf{\implies Profit\ percent=27x \times \frac{100}{73x} }}\\\\\\\displaystyle{\sf{\implies Profit\ percent=27 \times \frac{100}{73} }}\\\\\\\displaystyle{\sf{\implies Profit\ percent=\frac{2700}{73} }}\\\\\\\boxed{\underline{\boxed{\displaystyle{\sf{\implies Profit\ percent = 36.98\ \% }}}}}$

$\underline{\rule{269}{2}}$