In an examination, the score of A was 10% less than that of B, the sco

Question

In an examination, the score of A was 10% less than that of B, the score of B was 25% more than that of C, and the score of C was 20% less than that of D. If A scored 72, then what was the score of D ?

A. 100
B. 90
C. 80
D. 75
E. 60

A. 100
B. 90
C. 80
D. 75
E. 60

GMATinsight · Answer

Let, D = 100x
C = 20% less than that of D = 80x
B = B was 25% more than that of C = 80+(25/100)*80 = 100x
A = 10% less than that of B = 90x

A = 90x = 72  Given

D = 100x = 72*100/80 = 80

Answer: Option C

PoojanB · Answer

a=0.9b
b=1.25c
c=0.8d
a= 0.9*1.25*0.8d
putting value a=72 
we get d=80

Ans C

chetan2u · Answer

the score of A was 10% less than that of B,-----A=90% of B =0.9B 
the score of B was 25% more than that of C,-----B=125% of C= 1.25C.....A=0.9B=0.9*1.25C 
and the score of C was 20% less than that of D.------ C=0.8D....A=0.9*1.25C=0.9*1.25*0.8*D=0.9D

If A scored 72, then what was the score of D------- A=0.9D....72=0.9D.....D=\frac{72}{0.9}=80

C

GMATWhizTeam · Answer

Solution:  
Let x be the score of D.
 • Score of C =  x – \frac{20}{100}*x = \frac{4}{5}*x 
• Score of B =  \frac{5}{4}*\frac{4}{5}*x = x 
• Score of A =  \frac{9}{10}*x 
 o  72 = \frac{9}{10}*x 
o  x = 80 
  Score of D is 80.   
Hence, the correct answer is  Option C .

Archit3110 · Answer

score of A= 72
so score of B = 72/.9 = 80
score of C = 80/1.25 = 64
score of D = 64/.8 = 80
IMO C

ScottTargetTestPrep · Answer

We can create the following equations:

72 = 0.9B

80 = B

and

80 = 1.25C

64 = C

and

64 = 0.8D

80 = D

Answer: C

In an examination, the score of A was 10% less than that of B, the sco

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

In an examination, the score of A was 10% less than that of B, the sco

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards