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

Question

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

AkshdeepS · Answer

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.

Raja1406 · Answer

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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Archit3110 · Answer

a=1.25c
1.25c*b=cd
d/b=1.25 or say 25% more
IMO C

KarishmaB · Answer

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)

ScottTargetTestPrep · Answer

We can create the equation:

1.25c x b = c x d

1.25b = d

Thus, d is 25% greater than b.

Answer: C

Abhishek009 · Answer

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)

gracie · Answer

ab=cd→
d/b=a/c
25
C

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