Question

The difference between the total number of teachers in university A, university B and university C together and the total number of teachers in university D, university E and university F together is exactly equal to the number of teachers of which university?

• A. University A
• B. University B
• C. University C
• D. University D
• E. University F

Answer 1

The correct option is D University D

Number of teacher in university A
$=\frac{11\times 6400}{100}=704$
Number of teacher in university B
$=\frac{17\times 6400}{100}=1088$
Number of teacher in university C
$=\frac{19\times 6400}{100}=1216$
Number of teacher in university D
$=\frac{6\times 6400}{100}=384$
Number of teacher in university E
$=\frac{29\times 6400}{100}=1856$
Number of teacher in university F
$=\frac{18\times 6400}{100}=1152$
$\therefore$ Required difference
= 3392 - 3008 = 384

Alternate Method
Difference
$=D+E+F$\% - (A + B + C)\%\)
(53-47) = 6\%\\
= 6\%~of~6400 = 384\)
Hence, university of D is equal to 6%