Grandpa is writing a book. every morning he starts writing vigorously and fills a lot of pages. but post lunch he goes through all that he's written that far(right from day one) and deletes 1/5th of it. he doesn't write anything more that day. at the end of the day the content of his book is still 20% more than at the end of the previous day. how much percent new content does grandpa write in the morning
Answers
Given : Grandpa is writing a book , He Wrote every morning and post lunch ge deletes 1/5 of total Pages written. and 20% more pages are written
To Find : Percentage of new content grandpa write in the morning
Solution :
Let say previous day pages = P
& Let say he writes x % of pages
Number of Pages Written = (x/100)P
= Px/100
Total Pages = P + Px/100
= P(100 + x)/100
Deletes 1/5th
P(100 + x)/500
Remaining pages at end of the day
= P(100 + x)/100 - P(100 + x)/500
= 4P(100 + x)/500
at the end of the day the content of his book is still 20% more than at the end of the previous day
=> P + (20/100) = 120P/100
120P/100 = 4P(100 + x)/500
=> 150 = 100 + x
=> x = 50
50% Content Grandpa write in morning
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