Question

The price of an antique book is $91,which is two-fifth more then the cost to the book dealer.Find the cost.

Answer 1

Answer:

The cost to book dealer is $65

Step-by-step explanation:

Given : The price of an antique book is $91.

           The price is two - fifth more than the cost to book dealer.

To Find : Cost.

Solution :

Let the cost to book dealer be x

The price of an antique book is $91.

Two - fifth of the dealer cost  :  $\frac{2}{5}x$

Since we are given that  price is two - fifth more than the cost to book dealer.

⇒$x+\frac{2}{5}x=91$

⇒$\frac{7}{5}x=91$

⇒$x=\frac{91*5}{7}$

⇒$x=\frac{455}{7}$

⇒$x=65$

Hence , The cost to book dealer is $65

Answer 2

Let the price of book x. That's the cost the book dealer.

He wants to earn some money while selling it, so he listed the book by a new price, 91 $

He added two-fifth (2/5) price to its initial price. In other words, its new price is 40 % more expensive. (2/5 = x /100)

Here is the equation in words,
initial price + 2/5 of the initial price = 91

by equation: x + 2/5 x =91 

multiply both sides by 5, to eliminate the denominator:

5x +2x = 91.5 ; 7x = 455

divide both sides by 7 to simply coefficient of x: x= 65

The answer is 65$.