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M25-21

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M25-21  [#permalink]

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New post 16 Sep 2014, 01:23
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In a certain collection of books there are 30 books in hard cover that contain more than 100 pages. If 15 percent of the books that contain more than 100 pages are in hard cover, how many books contain more than 100 pages but are not in hard cover?

A. 60
B. 90
C. 170
D. 180
E. 200

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Re M25-21  [#permalink]

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New post 16 Sep 2014, 01:23
Official Solution:

In a certain collection of books there are 30 books in hard cover that contain more than 100 pages. If 15 percent of the books that contain more than 100 pages are in hard cover, how many books contain more than 100 pages but are not in hard cover?

A. 60
B. 90
C. 170
D. 180
E. 200


15 percent of all books that contain more than 100 pages = 30. Hence, there are in all \(\frac{30}{15}*100 = 200\) books that contain more than 100 pages. Of these 200 books, 30 are in hard cover. Therefore, \(200 - 30 = 170\) books that contain more than 100 pages but are not in hard cover.


Answer: C
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: M25-21  [#permalink]

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New post 26 Jun 2018, 09:35
It is given that 30 books are in hard cover that contain more than 100 pages. Using this information and knowing that this constitutes 15 percent, we can find the total books as 30 divided by 15% will give us the total books = 200 books. We can subtract the 30 from 200 to get the final answer as 170; i.e. the number books contain more than 100 pages but are not in hard cover:-

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Re: M25-21  [#permalink]

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New post 26 Jun 2018, 14:30
In a certain collection of books there are 30 books in hard cover that contain more than 100 pages. If 15 percent of the books that contain more than 100 pages are in hard cover, how many books contain more than 100 pages but are not in hard cover?

A. 60
B. 90
C. 170
D. 180
E. 200

Ans: C
T*15% = h
=> (h+s)*15% = h
=> (30+s)*15/100 = 30
=> 30+s = 200
=> s = 170
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Re: M25-21 &nbs [#permalink] 26 Jun 2018, 14:30
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