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ICSE Class 10 Answered

A man brought some books fir ruppees 1200when the price of each rose by rupees 30 he could buy 2 books less for ruooees 1200find the original prucr of the book
Asked by bhumikav668 | 22 Jul, 2020, 03:51: PM
answered-by-expert Expert Answer
Let the price of each books be Rs. x
So, the no. of books purchased = 1200/x
Price of each book is increased by Rs. 30
Number of books purchased = 1200/x+30
After increasing the price, he could by 2 books less
Therefore, we have

1200 over straight x minus fraction numerator 1200 over denominator straight x plus 30 end fraction equals 2
rightwards double arrow 1200 left parenthesis straight x plus 30 minus straight x right parenthesis equals 2 left parenthesis straight x squared plus 30 straight x right parenthesis
rightwards double arrow 18000 equals straight x squared plus 30 straight x
rightwards double arrow straight x squared plus 30 straight x minus 18000 equals 0
rightwards double arrow straight x equals fraction numerator negative 30 plus-or-minus 270 over denominator 2 end fraction equals negative 150 space space or space space 120
Hence comma space original space price space of space the space book space is space Rs. space 120.
Answered by Renu Varma | 27 Jul, 2020, 01:52: PM
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