5. The lost price of
a 4 books is
rupees 360. Find the cost price
of 12 such books
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Answer:
Let the original list price of the book be=Rs x
Original number of books purchased=
x
300
When the price of the book is reduced by 5
New Number of books purchased will be=
x−5
300
New number of books purchased-Original number of books purchased=5
∴
x−5
300
−
x
300
=5
⇒
x(x−5)
300x−300x+1500
=5
⇒x
2
−5x=300
⇒x
2
−20x+15x−300=0
⇒x(x−20)+15(x−20)=0
⇒(x−20)(x+15)=0
⇒x−20=0orx+15=0
⇒x=20orx=−15
∴x=20
the original cost of book is Rs 20
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