Question

5. A bookseller sold 200 copies of a book at a loss of 5%. If each copy costs him * 40, find
selling price of the book.
​

Answer 1

✬ S.P = Rs 7600 ✬

Step-by-step explanation:

Given:

• A bookseller sold 200 copies of a book.
• Cost of each book is Rs 40.
• Loss % made by seller is 5 %.

To Find:

• What is the selling price of book ?

Solution: First let's find the total cost price of 200 books.

➟ Cost of one copy of book = Rs 40

∴ Cost of 200 copies of book = Rs 40 × 200

• Rs 8000

So, total cost price is Rs 8000 and loss percent is 5%.

To find S.P when C.P and loss % are given we use the following formula

★ S.P = (100 – Loss %)/100 × C.P ★

$\implies{\rm }$ S.P = 100 – 5/100 × 8000

$\implies{\rm }$ S.P = 95/100 × 8000

$\implies{\rm }$ S.P = 95 × 80

$\implies{\rm }$ S.P = 7600

Hence, the selling price of all copies of book is Rs 7600.

[ Verification ]

➮ Loss = C.P – S.P

• Loss = 8000 – 7600 = Rs 400.

➮ Loss % = Loss/C.P × 100

• Loss % = 400/8000 × 100
• 5 % = 400/80
• 5 % = 5 %

$\large\bold{\texttt {Verified }}$

Answer 2

$\bf{\pink{\underbrace{\gray{GIVEN:-}}}}$

• A bookseller sold 200 copies of a book at a loss of 5% .

• Each copy costs him Rs.40 .

$\bf{\pink{\underbrace{\gray{TO\:FIND:-}}}}$

• The selling price of the book .

$\bf{\pink{\underbrace{\gray{SOLUTION:-}}}}$

We have know that,

$\green\bigstar\:\bf{\red{\overbrace{\underbrace{\purple{\%\:Loss\:=\:\dfrac{C.P\:-\:S.P}{C.P}\times{100}\:}}}}}$

Where,

• $\bf\red{C.P}$ = Cost Price

• $\bf\red{S.P}$ = Selling Price

According to the question,

• $\bf\red{C.P}$ = Rs.40

• $\bf\red{\%\:Loss}$ = 5%

$\rm{:\implies\:5\:=\:\dfrac{40\:-\:S.P}{40}\times{100}\:}$

$\rm{:\implies\:40\:-\:S.P\:=\:\dfrac{5\times{40}}{100}\:=\:2\:}$

$\rm{:\implies\:S.P\:=\:40\:-\:2\:}$

$\bf\green{:\implies\:S.P\:=\:Rs.38\:}$

☯︎ Hence, One copy costs = Rs.38

• $\bf\red{Total\:no.\:of\:copies}$ = 200

➳ 200 copies cost = 200 × 38

➳ 200 copies cost = Rs.7600

$\red\therefore$ The selling price of the book is "Rs.7600" .