Question

a book seller sold 50 copies of books costing ₹ 250 each at a profit 10%. Find the selling price of the book?
step bu step answer please ​

Answer 1

Before, finding the answer. Let's find out on how we can find the answer.

→ Formula to calculate Selling price when cost price and profit is :

$\sf Selling Price = \dfrac{100 + Profit \%}{100} \times CostPrice$

Where,  

• We have to first add 100 and Profit.
• Then, we must multiply Cost Price and the Product of 100 and profit.
• Then, we must divide it by 100.

______

Given :

• Cost Price= ₹ 250
• Profit = 10%

To find :

• Selling Price

Solution :

We know that,

$\sf Selling Price = \dfrac{100 + Profit \%}{100} \times CostPrice$

                   $\sf = \dfrac{100 + 10}{100} \times 250$

                   $\sf = \dfrac{110}{100} \times 250$

                   $\sf = \dfrac{275\not0\not0}{1\not0\not0}$

                   = 275

Hence, Selling Price of the Book is Rs. 275.

________________

⇔ KNOW MORE :

• Formula to calculate Selling price when cost price and profit is :

$\sf Selling Price = \dfrac{100-loss}{100} \times Cost Price$

Answer 2

$\begin{gathered}\begin{gathered}\bf \: Given - \begin{cases} &\sf{Cost \: Price \: of \: book \: is \: ₹ \: 250} \\ &\sf{Profit\% \: = \: 10\%} \end{cases}\end{gathered}\end{gathered}$

$\begin{gathered}\begin{gathered}\bf \: To\:find - \begin{cases} &\sf{Selling \: Price \: of \: book}  \end{cases}\end{gathered}\end{gathered}$

Understanding the concept:

‎We're given with the cost price and the profit percent. And we're asked to find the selling price of the book. For finding this, first let's recall the chapter- "Profit and Loss", which we've studied !!

• Cost Price (C.P.) - The price at which an article is purchased is called it's cost price.

• Selling Price (S.P.) - The price at which an article is sold is called it's selling price.

• Profit - If the S.P. of an article is greater than its C.P., we say that there is a profit.

Now,

Let's do it !!

$\large\underline\purple{\bold{Solution :- }}$

Given that

• Cost Price of book = ₹ 250

• Profit % = 10 %

Now,

We know that

• Selling Price is given by

$\rm :\implies\: \boxed{ \pink{ \bf \:Selling \: Price \: = \tt \: \dfrac{(100 \: + \: Profit\%) \times Cost \: Price}{100} }}$

So,

$\rm :\implies\:Selling \: Price \: = \dfrac{(100 + 10) \times 250}{100}$

$\rm :\implies\:Selling \: Price \: = \dfrac{110 \times 25}{10}$

$\rm :\implies\:Selling \: Price \: = 25 \: \times \: 11$

$\rm :\implies\: \boxed{ \purple{ \bf \: Selling \: Price \: = \tt \:₹ \: 275 }}$

$\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{\pmb{ \red{More \: Formulae}}}} \\ \\ \bigstar \: \bf{Gain = \sf S.P. \: – \: C.P.} \\ \\ \bigstar \:\bf{Loss = \sf C.P. \: – \: S.P.} \\ \\ \bigstar \: \bf{Gain \: \% = \sf \Bigg( \dfrac{Gain}{C.P.} \times 100 \Bigg)\%} \\ \\ \bigstar \: \bf{Loss \: \% = \sf \Bigg( \dfrac{Loss}{C.P.} \times 100 \Bigg )\%} \\ \\ \\ \bigstar \: \bf{S.P. = \sf\dfrac{100+Gain \: \% \: (or) \: Loss\:\%}{100} \times C.P.} \\ \: \end{array} }}\end{gathered}\end{gathered}\end{gathered}$