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If the if the price of …

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If the if the price of the book is reduced by rupees 5 a person can buy 5 more books for rupees 300 find the original list price of the book
  • 4 answers

Misha Ahuja 5 years, 11 months ago

65

Shourya Singh 5 years, 11 months ago

If in 300 rupees, you get 5 books then 300÷5 = 60 , that is the lrice of one book when rupee5 is reduced. That meNs original pricebis 65(60 +5)

Shourya Singh 5 years, 11 months ago

65

Yogita Ingle 5 years, 11 months ago

Let the price of one book be y

Let the no. of books purchased be x

So, Total cost = xy

We are given that the total cost is 300

So, xy=300

Now a book is reduced by rupees 5 a person can buy 5 more books  

So, the price of one book =y-5

The no. of books purchased =x+5

So, Total Cost = (x+5)(y-5)

Since we are given that the total cost is 300

So, (x+5)(y-5) =300

xy-5x+5y-25=300

300-5x+5y-25=300

-5x+5y=25

-x+y=5

{tex}-\frac{300}{y}+y=5{/tex}

{tex}-\frac{300+y^2}{y}=5{/tex}

{tex}y^2-5y-300=0{/tex}

{tex}y^2-20y+15y-300=0{/tex}

{tex}y(y-20)+15(y-20)=0{/tex}

(y-20)(y+15)=0

y=20,-15

Since Price cannot be negative  

So, the original list price of the book is Rs.20

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