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# If the ratio of the number of English books to the number of all other

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Math Expert
Joined: 02 Sep 2009
Posts: 50621
If the ratio of the number of English books to the number of all other  [#permalink]

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11 Jul 2018, 23:51
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Difficulty:

(N/A)

Question Stats:

91% (00:30) correct 9% (00:17) wrong based on 35 sessions

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If the ratio of the number of English books to the number of all other books on a bookshelf is 4 to 1, what percent of the books on the bookshelf are English books?

(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%

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Math Expert
Joined: 02 Aug 2009
Posts: 7035
Re: If the ratio of the number of English books to the number of all other  [#permalink]

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12 Jul 2018, 00:04
Bunuel wrote:
If the ratio of the number of English books to the number of all other books on a bookshelf is 4 to 1, what percent of the books on the bookshelf are English books?

(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%

English:others = $$4:1=4x:x$$
so total = $$4x+x=5x$$

% of English books = $$\frac{4x}{5x}*100=80%$$
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Re: If the ratio of the number of English books to the number of all other  [#permalink]

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12 Jul 2018, 04:37
Bunuel wrote:
If the ratio of the number of English books to the number of all other books on a bookshelf is 4 to 1, what percent of the books on the bookshelf are English books?

(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%

let assume the total no of books be 5

English = 4
Other book = 1

Required % = (4 / 5)*100
= 80%

Thus the best answer is E.
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Re: If the ratio of the number of English books to the number of all other  [#permalink]

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12 Jul 2018, 07:15
Bunuel wrote:
If the ratio of the number of English books to the number of all other books on a bookshelf is 4 to 1, what percent of the books on the bookshelf are English books?

(A) 20%
(B) 25%
(C) 50%
(D) 75%
(E) 80%

$$\frac{4}{5}*100 = 80%$$
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Joined: 17 May 2018
Posts: 38
Re: If the ratio of the number of English books to the number of all other  [#permalink]

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12 Jul 2018, 09:00
There are 4 parts of english books for a total of 5 parts of books. Proportion is then 4/5 = 80%.
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Re: If the ratio of the number of English books to the number of all other &nbs [#permalink] 12 Jul 2018, 09:00
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