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# A man saves a certain portion of his income during a year

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Manager
Joined: 07 Mar 2016
Posts: 60
A man saves a certain portion of his income during a year  [#permalink]

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19 May 2016, 02:02
3
00:00

Difficulty:

35% (medium)

Question Stats:

73% (02:46) correct 27% (02:41) wrong based on 45 sessions

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A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 40% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?

a.) 45%
b.) 40%
c.) 25%
d.) 28%
e.) 33.33%

Can anyone please tell it's difficulty level also
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Joined: 02 Aug 2009
Posts: 8301
Re: A man saves a certain portion of his income during a year  [#permalink]

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19 May 2016, 02:22
3
ashutoshsh wrote:
A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 40% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save?

a.) 45%
b.) 40%
c.) 25%
d.) 28%
e.) 33.33%

Can anyone please tell it's difficulty level also

I year
Best is to give a number to his income, say 100..
and let saving be x..
so expenditure = 100-x

next year-
Income = 140
savings = 2x
expenditure = 140-2x..

Now 140-2x+100-x = 2(100-x)...
240-3x = 200-2x ................x = 40...

saving % = 40/100 * 100 = 40%
B..

Q must be around 700 level
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Re: A man saves a certain portion of his income during a year  [#permalink]

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19 May 2016, 19:24
1st year Income= I
1st year savings= S
1st year Expense= E1

2nd year Income = 1.4I
2nd year savings= 2S (100% increase)
2nd Year expense= E2

Now with the given information
E1+ E2= 2E1
E2=E1

That means Expenses are same during both years. With increase of 40% income the savings increased by 100%.

or S= .4I
or S= 40% of Income

B is the answer
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A man saves a certain portion of his income during a year  [#permalink]

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20 May 2016, 11:17
ALTERNATE APPROACH

Use answer options for this question -

Attachment:

Capture.PNG [ 16.62 KiB | Viewed 4179 times ]

Only option (B) satisfies the condition

 If his total expenditure in 2 years is double his expenditure in 1st year

Thus answer will be option (B)

PS : Feel free to post your queries in case of any doubt , I will be more than happy to respond..
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Re: A man saves a certain portion of his income during a year  [#permalink]

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08 Mar 2020, 07:40
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Re: A man saves a certain portion of his income during a year   [#permalink] 08 Mar 2020, 07:40
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# A man saves a certain portion of his income during a year

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