Question

A shopkeeper buys a certain number of books for 960. if the cost per book was 8 less, the number of books that could be bought for 960 would be 4 more. taking the original cost of each book to be x write an equation in x and solve it to find the original cost of each book.

Answer 1

Answer:

Original cost = 48

Step-by-step explanation:

Original cost per book = x

Number of books purchased for 960 = $\frac{960}{x}$

If the cost per book was 8 less = (x - 8),

4 more books could be purchased = ($\frac{960}{x}$ + 4)

for the same amount = 960

⇒ (x - 8) * ($\frac{960}{x}$ + 4) = 960

⇒ 960 - $\frac{8 X 960}{x}$ + 4x - 32 = 960

⇒ 4x - 32 - $\frac{8 X 960}{x}$ = 0

Multiplying all the terms by x,

⇒ 4x² - 32x - 7680 = 0

Dividing all the terms by 4,

⇒ x² - 8x - 1920 = 0

Solving the quadratic equation,

(x - 48) * (x + 40) = 0

x = 48 OR x = - 40

Since the cost of a book cannot be negative,

x = 48

Answer 2

Answer:

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