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16 percent of it by 42

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16 percent of it by 42

by sanju09 » Mon Oct 18, 2010 5:43 am
The number which exceeds 16 percent of it by 42 is
(A) 42
(B) 48
(C) 50
(D) 52
(E) 57


[spoiler]??????????[/spoiler]
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by Geva@EconomistGMAT » Mon Oct 18, 2010 5:45 am
sanju09 wrote:The number which exceeds 16 percent of it by 42 is
(A) 42
(B) 48
(C) 50
(D) 52
(E) 57


[spoiler]??????????[/spoiler]
reverse Plug in the answers. Start with the middle answer choice C: if the number is 50, then 16% of 50=8 (half of 16% of 100). Since 50 exceeds 8 by 42, this is the right answer.
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by Rezinka » Tue Oct 19, 2010 10:51 pm
It can be done by simple calculation as well. I think plugging in will require much more time.

Solution :
Let the number be 'x'.
The question says that the number exceeds 16% of it. So, we can write :

x - (16/100)x

by 42; so :

x - (16/100)x = 42
100x - 16x = 4200
84x = 4200
x = 50
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