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By what percent is 25 greater than 15?

This topic has 3 expert replies and 1 member reply

By what percent is 25 greater than 15?

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C

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By what percent is 25 greater than 15?

(A) 10%
(B) 25%
(C) 33 1/3%
(D) 60%
(E) 66 2/3%

OA E

Source: Manhattan Prep

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BTGmoderatorDC wrote:
By what percent is 25 greater than 15?

(A) 10%
(B) 25%
(C) 33 1/3%
(D) 60%
(E) 66 2/3%

OA E

Source: Manhattan Prep
25 is greater than 15 by 10 (= 25 - 15). Thus, 25 is greater than 15 by (10/15)*100% = 66 2/3%.

The correct answer: E

Hope this helps!

-Jay
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BTGmoderatorDC wrote:
By what percent is 25 greater than 15?

(A) 10%
(B) 25%
(C) 33 1/3%
(D) 60%
(E) 66 2/3%

OA E

Source: Manhattan Prep
25/15 = 5/3 = 1.6666
So, 25 is greater than 15 by .666666 x100 %
= 66.66%

Answer E

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BTGmoderatorDC wrote:
By what percent is 25 greater than 15?

(A) 10%
(B) 25%
(C) 33 1/3%
(D) 60%
(E) 66 2/3%
Source: Manhattan Prep
$$15\,\,\mathop \to \limits^{?\,\, = \,\,\Delta \% } \,\,25$$
$$? = {{25 - 15} \over {15}} = {2 \over 3}\,\,\,\,\, \Rightarrow \,\,\,\,\left( {\rm{E}} \right)$$

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.

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BTGmoderatorDC wrote:
By what percent is 25 greater than 15?

(A) 10%
(B) 25%
(C) 33 1/3%
(D) 60%
(E) 66 2/3%
An alternative approach is to test the answer choices

First, however, we can eliminate some answer choices by first testing an easy value: 50%

Is 25 50% greater than 15?
Well, 50% of 15 = 7.5
So, 50% greater than 15 = 15 + 7.5 = 22.5
22.5 is too small (we need to get 25), so we need a percentage that's greater than 50%
So, we can ELIMINATE A, B and C

Now we'll test answer choice D: 60%
Is 25 60% greater than 15?
60% of 15 = 9
So, 60% greater than 15 = 15 + 9 = 24 (no good - we need 25)
We can ELIMINATE D

By the process of elimination, the correct answer is E

Cheers,
Brent

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