8 Views

Question : In an examination, B obtained 20% more marks than those obtained by A, and A obtained 10% fewer marks than those obtained by C. D obtained 20% more marks than those obtained by C. By what percentage are the marks obtained by D more than those obtained by A?

Option 1: $33 \frac{1}{3} \%$

Option 2: $13 \frac{1}{3} \%$

Option 3: $43 \frac{1}{3} \%$

Option 4: $23 \frac{1}{3} \%$


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: $33 \frac{1}{3} \%$


Solution : Given:
B obtained 20% more marks than A.
A obtained 10% less marks than C.
D obtained 20% more marks than C
Let the marks obtained by C be $x$.
Marks obtained by D $=x\times \frac{120}{100}=\frac{6x}{5}$
Marks obtained by A $=x\times \frac{90}{100}=\frac{9x}{10}$
The percentage of marks obtained by D more than by A:
$= \frac{\frac{6x}{5}-\frac{9x}{10}}{\frac{9x}{10}}\times 100$
$= \frac{\frac{3x}{10}}{\frac{9x}{10}}\times 100$
$= \frac{1}{3}\times 100$
$= 33\frac{1}{3}\%$
Hence, the correct answer is $33\frac{1}{3}\%$.

SSC CGL Complete Guide

Candidates can download this ebook to know all about SSC CGL.

Download EBook

Know More About

Related Questions

TOEFL ® Registrations 2024
Apply
Accepted by more than 11,000 universities in over 150 countries worldwide
Manipal Online M.Com Admissions
Apply
Apply for Online M.Com from Manipal University
View All Application Forms

Download the Careers360 App on your Android phone

Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile

150M+ Students
30,000+ Colleges
500+ Exams
1500+ E-books