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A book publishing company released 100 books last year. Three-fifth of the released books were fiction and all the remaining were non-fiction. 20% of fiction has at least 350 pages. And 80% of the non-fiction has less than 350 pages. How many of the released books has less than 350 pages?
  • a)
    12
  • b)
    20
  • c)
    32
  • d)
    48
  • e)
    80
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
A book publishing company released 100 books last year. Three-fifth of...
Total Books = 100
Fiction = 60, Books less than 350 pages are = 48
Non Fiction = 40, Books less than 30 pages are = 32
Total books less than 350 pages = 48 + 32 = 80
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Most Upvoted Answer
A book publishing company released 100 books last year. Three-fifth of...
Given:
- 100 books were released last year.
- Three-fifth of the released books were fiction and all the remaining were non-fiction.
- 20% of fiction has at least 350 pages.
- 80% of the non-fiction has less than 350 pages.

To find: How many of the released books have less than 350 pages?

Solution:

Number of fiction books released = (3/5) x 100 = 60

Number of non-fiction books released = 100 - 60 = 40

Number of fiction books with at least 350 pages = (20/100) x 60 = 12

Number of non-fiction books with less than 350 pages = (80/100) x 40 = 32

Total number of books with less than 350 pages = 12 + 32 = 44

Therefore, option (E) 80 is incorrect. The correct answer is option (D) 48.
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Community Answer
A book publishing company released 100 books last year. Three-fifth of...
1:
i) 3/5 of 100= 60 fiction books
ii) 20% of 60 fiction books = 12 books with at least 350 pages
iii) 80% of fiction books = 48 books with less than 350 pages

2:
i) 2/5 of 100 books = 40 non fiction books
ii) 80% of 40 books = 32 books with less than 350 pages.

step iii of equation 1+step ii of equation 2
48+32 = 80
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Question Description
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