if the price of a book is reduced by Rs.5, a person buy 5 more books for Rs.300.find the
original list price of the book.
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Answer:
Original Price of the book = Rs 20
Step-by-step explanation:
Let say Original price of Book = B Rs
Number of Books he Can buy = 300/B
price of a book is reduced by Rs.5
=> New Price of the book = B - 5 Rs
Number of Books he Can buy now = 300/(B - 5)
buy 5 more books
=> 300/(B - 5) = 300/B + 5
=> 60/(B - 5) = 60/B + 1
=> 60B = 60(B-5) + B(B-5)
=> 60B = 60B - 300 + B² - 5B
=> B² - 5B - 300 = 0
=> B² - 20B + 15B - 300 = 0
=> B(B -20) + 15(B - 20) =0
=> (B + 15)(B - 20) = 0
=> B = 20
Original Price of the book = Rs 20
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