Data Interpretation Ques 19

Question-

Directions : The following table shows the details about the percentage distribution of students admitted in four different colleges for five different subjects. The table also consists of respective male and female ratio of all the students in each subject. Consider the following table and answer the questions given below :

Students $\rightarrow$ Physics Chemistry Commerce History Maths
Colleges $\downarrow$
$A$ $20 \%$ $15 \%$ $25 \%$ $20 \%$ $20 \%$
$B$ $15 \%$ $15 \%$ $15 \%$ $30 \%$ $25 \%$
$C$ $30 \%$ $20 \%$ $10 \%$ $20 \%$ $20 \%$
$D$ $25 \%$ $25 \%$ $10 \%$ $30 \%$ $10 \%$
Ratio between
male and female
$2: 3$ $3: 2$ $1: 2$ $2: 1$ $1: 1$

Total students distribution among four colleges $A$, $B$, $C$ and $D$ is $2: 3: 3: 2$

If the total number of students admitted in college $D$ is 800 , what is the total number of students of Commerce and History in college A?

(1) 280

(2) 360

(3) 410

(4) 400

Show Answer

Answer: (2)

Solution: (2)

Ratio of students in all colleges $A$, $B$, $C$ and $D$ $=2: 3: 3: 2$

Total students in college D $=800$

$\therefore$ Total students in A $=\left(\frac{800}{2}\right) \times 2=800$

$\therefore$ Number of students in History and Commerce $=800 \times(25 \%+20 \%)$ $=\frac{800 \times 45}{100}=360$



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