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# What is the percent increase from 1/5 to 3 3/4?

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Math Expert
Joined: 02 Sep 2009
Posts: 43785
What is the percent increase from 1/5 to 3 3/4? [#permalink]

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28 Sep 2017, 00:42
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25% (medium)

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68% (01:01) correct 32% (00:43) wrong based on 48 sessions

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What is the percent increase from $$\frac{1}{5}$$ to $$3 \frac{3}{4}$$?

A. 17.75%
B. 35.5%
C. 177.5%
D. 1775%
E. 3550%
[Reveal] Spoiler: OA

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What is the percent increase from 1/5 to 3 3/4? [#permalink]

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28 Sep 2017, 04:47
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KUDOS
We have been asked to find the percent increase from $$\frac{1}{5}$$ to $$3 \frac{3}{4}$$

Simplifying the expression, we get $$3 \frac{3}{4} = \frac{15}{4} = 3.75$$
Also,$$\frac{1}{5} = 0.2$$

In order to find the percent increase, we need to find the difference between which is $$3.55(3.75 - 0.20)$$

Therefore, the percent increase can be given by $$\frac{3.55}{0.2}*100 = \frac{71}{4}*100 = 71*25 = 1775%$$Option D)
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Re: What is the percent increase from 1/5 to 3 3/4? [#permalink]

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28 Sep 2017, 05:02
Bunuel wrote:
What is the percent increase from $$\frac{1}{5}$$ to $$3 \frac{3}{4}$$?

A. 17.75%
B. 35.5%
C. 177.5%
D. 1775%
E. 3550%

Increase from $$\frac{1}{5}$$ to $$3 \frac{3}{4}$$ = 15/4 - 1/5 = 71/20

% change = (71/20)*100/(1/5) = 71*25 = 1775%

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Re: What is the percent increase from 1/5 to 3 3/4? [#permalink]

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28 Sep 2017, 09:54
I will do 3.75-0.2= 3.55 ; % difference is 3.55/0.2 * 100 = 1775 (D).
Intern
Joined: 31 Oct 2016
Posts: 5
Re: What is the percent increase from 1/5 to 3 3/4? [#permalink]

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28 Sep 2017, 12:33
Any percentage change is {(New-Old)/Old} multiplied by 100

Easy to solve then.
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Re: What is the percent increase from 1/5 to 3 3/4? [#permalink]

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03 Oct 2017, 08:14
Bunuel wrote:
What is the percent increase from $$\frac{1}{5}$$ to $$3 \frac{3}{4}$$?

A. 17.75%
B. 35.5%
C. 177.5%
D. 1775%
E. 3550%

We use the percent increase formula, (new - old)/old x 100, obtaining:

(15/4 - 1/5)/(1/5) x 100

(75/20 - 4/20)/(1/5) x 100

(71/20)/(1/5) x 100

(71 x 5)/20 x 100

71/4 x 100

71 x 25 = 1,175%

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Re: What is the percent increase from 1/5 to 3 3/4?   [#permalink] 03 Oct 2017, 08:14
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