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By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?

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By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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23 Oct 2011, 12:27
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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%
[Reveal] Spoiler: OA

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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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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 greater than 4/5 if (4/5)(x) = 1? [#permalink]

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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 greater than 4/5 if (4/5)(x) = 1? [#permalink]

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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?

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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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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?

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 greater than 4/5 if (4/5)(x) = 1? [#permalink]

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23 Oct 2011, 20:46
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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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28 Jul 2016, 13:08
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shrive555 wrote:
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%

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
[Reveal] Spoiler:
B

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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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28 Jul 2016, 13:22
4/5= 80%, 5/4=125% increase by 45 percentage points 45/80=56% , hence B

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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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07 Sep 2016, 07:11
shrive555 wrote:
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%

we can easily identify that x is 5/4
now, percent greater:
(x - 4/5)/(4/5)
5/4 - 4/5 = 9/20
divide by 4/5
we get 9/16
since it's more than 50% and only B is greater than 50%, the only possible answer can be B.
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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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07 Sep 2016, 17:30
shrive555 wrote:
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%

B. Key here is to know when to use the % change formula to find how many % x is greater than 4/5.
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Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1? [#permalink]

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07 Sep 2016, 21:48
what percent is x greater than 4/5 if (4/5)(x) = 1?

=> x = 5/4
% change =[(5/4 -4/5) /(4/5) ] * 100
= (9/20 * 5/4) *100
= 56% approx

Ans ,B
Re: By approximately what percent is x greater than 4/5 if (4/5)(x) = 1?   [#permalink] 07 Sep 2016, 21:48
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