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Jack is fond of collecting tickets. He has 40 tickets out of which 60%

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Director
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Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
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Jack is fond of collecting tickets. He has 40 tickets out of which 60%  [#permalink]

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New post 02 Mar 2019, 20:59
1
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:30) correct 22% (01:27) wrong based on 27 sessions

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Jack is fond of collecting tickets. He has 40 tickets out of which 60% have Princess Lisa's image printed on it. Jack's father gave him 60 more tickets out of which 25% were without Princess Lisa's image on them. What percent of the total tickets with Jack have Princess Lisa's image on them?

A. 22.22%
B. 45%
C. 54%
D. 69%
E. None of these
Manager
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Joined: 19 Jan 2019
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Jack is fond of collecting tickets. He has 40 tickets out of which 60%  [#permalink]

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New post 02 Mar 2019, 23:18
1
Jack initially had 40 tickets.. 60% of the tickets have the image of princess ... Which means 60%{40} = 24 tickets have the princess image .

Jack's father gave him additional 60 tickets , out of which 25% doesn't have princess image on the ticket... Therefore 75% of the tickets will have the princess image =>75%{60} = 45

Total tickets = 100
Tickets with the princess image (24+45)
Percentage = 69/100*100= 69% .. option D

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Manager
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Re: Jack is fond of collecting tickets. He has 40 tickets out of which 60%  [#permalink]

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New post 03 Mar 2019, 00:42
kiran120680 wrote:
Jack is fond of collecting tickets. He has 40 tickets out of which 60% have Princess Lisa's image printed on it. Jack's father gave him 60 more tickets out of which 25% were without Princess Lisa's image on them. What percent of the total tickets with Jack have Princess Lisa's image on them?

A. 22.22%
B. 45%
C. 54%
D. 69%
E. None of these


Hi,
I misread first and chose E. :|

3/5 of 40 have Lisa’s image = 24
1/4 do not. I.e. 3/4 of 60 have = 45

Total % = 69/100 = 69%

Option D.

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Re: Jack is fond of collecting tickets. He has 40 tickets out of which 60%  [#permalink]

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New post 03 Mar 2019, 01:13
kiran120680 wrote:
Jack is fond of collecting tickets. He has 40 tickets out of which 60% have Princess Lisa's image printed on it. Jack's father gave him 60 more tickets out of which 25% were without Princess Lisa's image on them. What percent of the total tickets with Jack have Princess Lisa's image on them?

A. 22.22%
B. 45%
C. 54%
D. 69%
E. None of these



% required: Tickets with princes Lisa'a image / Total tickets.

Tickets with princes Lisa's image:

40 * 06 = 24

60 * 0.75 = 45

Total tickets with image = 24 + 45 = 69.

Total tickets = 40 + 60 = 100.

% required = (69 / 100)*100 = 69.

D is the correct answer.
GMAT Club Bot
Re: Jack is fond of collecting tickets. He has 40 tickets out of which 60%   [#permalink] 03 Mar 2019, 01:13
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Jack is fond of collecting tickets. He has 40 tickets out of which 60%

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