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If ab = cd and a is 25% greater than c, then by what percent is d grea

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Bunuel
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If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   10 Apr 2019, 23:44
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If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33
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C
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If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   Updated on: 11 Apr 2019, 05:41
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Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33


IMO (c) = 25%

Given : ab = cd

a = 1.25c

Therefore,

1.25c * b = c*d

5/4b = d

d/b = 5/4

5-4/4 * 100

= 25% (C)

Edited the denominator . It should be 4. :tongue_opt1

Originally posted by AkshdeepS on 10 Apr 2019, 23:52.
Last edited by AkshdeepS on 11 Apr 2019, 05:41, edited 2 times in total.
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Raja1406
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Re: If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   11 Apr 2019, 00:00
a/c=d/b
As a= 25%greater means
a= c+c/4=5c/4
So from equation d/b=(5c/4)/c=5/4
So d/b-1=(d-b)/b=1/4===25%

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Re: If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   11 Apr 2019, 02:53
Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33


a=1.25c
1.25c*b=cd
d/b=1.25 or say 25% more
IMO C
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Re: If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   11 Apr 2019, 03:12
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Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33


It is just a variation of Expense = Price*Amount kind of questions where expense needs to be kept the same.

If a = (5/4)c, d must be (5/4)b too.

(5/4)c * b = c * d
d = (5/4)*b

Hence d is 25% more than b.

Answer (C)
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Re: If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   15 Apr 2019, 07:31
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Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33

We can create the equation:

1.25c x b = c x d

1.25b = d

Thus, d is 25% greater than b.

Answer: C
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If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   15 Apr 2019, 07:41
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Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33

Plug in and solve

ab = cd : : 5*8 = 4*10 (where a is 125% of c)

So, d greater than b by \(\frac{(10 - 8 )}{8}*100\) = 25%, Answer must be (C)
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If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink] New post   17 Apr 2019, 11:03
Bunuel wrote:
If ab = cd and a is 25% greater than c, then by what percent is d greater than b?

(A) 16.66
(B) 20
(C) 25
(D) 30
(E) 33.33


ab=cd→
d/b=a/c
25
C
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If ab = cd and a is 25% greater than c, then by what percent is d grea [#permalink]
17 Apr 2019, 11:03
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