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23 Oct 2011, 13:27
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:44) correct
24%
(01:59)
wrong
based on 1279
sessions
History
Date
Time
Result
Not Attempted Yet
By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?
A. 73%
B. 56%
C. 41%
D. 37%
E. 29%
A. 73%
B. 56%
C. 41%
D. 37%
E. 29%
Updated on: 12 Nov 2019, 17:27
Originally posted by BrentGMATPrepNow on 28 Jul 2016, 14:08.
Last edited by BrentGMATPrepNow on 12 Nov 2019, 17:27, edited 1 time in total.
Last edited by BrentGMATPrepNow on 12 Nov 2019, 17:27, edited 1 time in total.
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shrive555
If (4/5)(x) = 1, then x = 5/4
So, approximately what percent is 5/4 greater than 4/5?
Or (using decimals) approximately what percent is 1.25 greater than 0.8?
NO NEED FOR ANY CALCULATIONS
Notice that 1.2 is 50% greater than 0.8
So, 1.25 must be a little more than 50% greater than 0.8
Check the answer choices.....
General Discussion
23 Oct 2011, 13:47
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shrive555
hello shrive,
question asks by what % x is greater than 4/5. to find that you will need to calculate the value of x and then find difference between x and 4/5 (i.e subtract 4/5 from x)
It is given that (4/5)(x) = 1 -> x =5/4 . now you can calculate difference between x and 4/5. in two ways of calculating that either use lcm of denominators to get 5/4 -4/5 = 25-16/9 = 9/20. Now we know x is 9/20 more than 4/5. to calculate it in percent simply use (difference/ 4/5) *100 -> you will get (9/20/4/5) * 100. simplifying will give you 225/4 % or 56.25 % now question asks approximately so 56% should be the answer.
Or also you can use decimal form , in that case 5/4 =1.25 and 4/5 =0.8 so difference between x and 4/5 =1.25 - 0.8 = 0.45, again to calculate %. use percentage formula. The question asks by what % x is greater than 4/5 so 4/5 will be used in denominator and their difference in numerator and we multiply the product by 100 to get % so 0.45/0.8 * 100 = 56.25 ~ 56 %
