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There were 46 students in a Boys hostel. Due to the admission of eight

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Intern
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Joined: 13 Aug 2018
Posts: 36
There were 46 students in a Boys hostel. Due to the admission of eight  [#permalink]

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New post 11 Apr 2019, 10:01
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Difficulty:

  35% (medium)

Question Stats:

72% (02:47) correct 28% (03:04) wrong based on 32 sessions

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There were 46 students in a Boys hostel. Due to the admission of eight new students the expenses of the hostel mess were increased by $42 per day while the average expenditure per head diminished by $1. What was the original expenditure of the hostel mess?

a. $548
b. $460
c. $594
d. $552
e. $506
Senior Manager
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Joined: 16 Jan 2019
Posts: 489
Location: India
Concentration: General Management
WE: Sales (Other)
Re: There were 46 students in a Boys hostel. Due to the admission of eight  [#permalink]

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New post 11 Apr 2019, 10:16
2
Let x = Average daily expense per head

This becomes x-1 when 8 students are added

Then orginal expense = 46x

Expense after the 8 students join = 54(x-1)

We are given

54(x-1) = 46x + 42

Solving for x, x=12

We need to find original expense 46x which is 46*12=552

(D)

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Re: There were 46 students in a Boys hostel. Due to the admission of eight   [#permalink] 11 Apr 2019, 10:16
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There were 46 students in a Boys hostel. Due to the admission of eight

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