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All the high school students in a private school have opted for music,

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Senior PS Moderator
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
All the high school students in a private school have opted for music,  [#permalink]

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27 Feb 2018, 01:56
4
00:00

Difficulty:

35% (medium)

Question Stats:

79% (02:10) correct 21% (02:20) wrong based on 45 sessions

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All the high school students in a private school have opted for music, sports, or both. 75% of these students have
opted for one of the two. Overall 120 students have opted for Music. If 40% of the students have opted for sports
only, how many students have opted for both?

A. 25
B. 30
C. 40
D. 50
E. 60

Source: Experts Global

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Retired Moderator
Joined: 07 Jan 2016
Posts: 1090
Location: India
GMAT 1: 710 Q49 V36
Re: All the high school students in a private school have opted for music,  [#permalink]

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27 Feb 2018, 02:23
pushpitkc wrote:
All the high school students in a private school have opted for music, sports, or both. 75% of these students have
opted for one of the two. Overall 120 students have opted for Music. If 40% of the students have opted for sports
only, how many students have opted for both?

A. 25
B. 30
C. 40
D. 50
E. 60

Source: Experts Global

total = 100%
students opt for music,sports or both

75% opt for only one i.e 25% opt for both and we need to find the 25% in terms of value

we know 120 students like music and 40% like sports only

75-40 =35 i.e 35% opt for music only

120 like music = 35% only music + 25% both I.e 60%

120 = 60%
100% = 200

we need 25% (both) = 200/4 = 50

(D) imo
Re: All the high school students in a private school have opted for music,   [#permalink] 27 Feb 2018, 02:23
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