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By approximately what percent is x

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By approximately what percent is x [#permalink] New post 23 Oct 2011, 12:27
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By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?


73%
56%
41%
37%
29%

Please explain Question and Explanation both !!

Thanks
[Reveal] Spoiler: OA

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Re: By approximately what percent is x [#permalink] New post 23 Oct 2011, 12:47
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shrive555 wrote:
By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?


73%
56%
41%
37%
29%

Please explain Question and Explanation both !!

Thanks


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 %
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Re: By approximately what percent is x [#permalink] New post 23 Oct 2011, 15:32
Aj85 wrote:
shrive555 wrote:
By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?


73%
56%
41%
37%
29%

Please explain Question and Explanation both !!

Thanks


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 %


Brilliant AJ : i didn't know what 9/20 means.
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Re: By approximately what percent is x [#permalink] New post 23 Oct 2011, 16:19
I always get confused while considering the denominator.
What percent is X greater than Y? In this, denominator has to be Y...Why?

Does the Keyword - [highlight]greater than[/highlight]- Defines which one has to be denominator?

Thanks in advance. Cheers!
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Re: By approximately what percent is x [#permalink] New post 23 Oct 2011, 18:24
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Capricorn369 wrote:
I always get confused while considering the denominator.
What percent is X greater than Y? In this, denominator has to be Y...Why?

Does the Keyword - [highlight]greater than[/highlight]- Defines which one has to be denominator?

Thanks in advance. Cheers!


Yes, when we say What percent is X greater than Y or What percent is X less than Y we compare X with Y.
we calculate (x-y)/y

The denominator follows the phrase "greater than" or "less than".
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Re: By approximately what percent is x [#permalink] New post 23 Oct 2011, 20:46
Thanks blink005. Cheers.
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Re: By approximately what percent is x   [#permalink] 23 Oct 2011, 20:46
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