A man could buy a certain number of notebooks for Rs.300. If each notebook cost is Rs.5 more, he could have bought 10 notebooks less for the same amount. Find the price of each notebook?
According to the question:
â(x+5)(yâ10)=300
âxy+5yâ10xâ50=xy
â5×300ââ10xâ50=0
ââ150+x2+5x=0
âx2+15xâ10xâ150=0
âx(x+15)â10(x+15)=0
âx=10 or â15
Price cannot be negative
So, As x>0,x=10.
According to the question:
â(x+5)(yâ10)=300
âxy+5yâ10xâ50=xy
â5×300ââ10xâ50=0
ââ150+x2+5x=0
âx2+15xâ10xâ150=0
âx(x+15)â10(x+15)=0
âx=10 or â15
Price cannot be negative
So, As x>0,x=10.