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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, 13:47

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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 %

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

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23 Oct 2011, 16:32

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.
_________________

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

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23 Oct 2011, 17:19

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

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23 Oct 2011, 21:46

Thanks blink005. Cheers.
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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, 14:08

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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 Check the answer choices.....

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

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07 Sep 2016, 08:11

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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