This year the students of Nandlal H.S school have passed 85% in Bengali, 70% in maths and 65% in both subject scoring A⁺. If the number of students are 120 then let’s work out how many students

(i) got A+ in both subjects

(ii) got A+ only in maths

(iii) got A+ in Bengali

(iv) did not get A+ in both subjects

Given: Percentage of students who got A+ in Bengali=85%

Percentage of students who got A+ in Maths=70%

Percentage of students who got A= in both subjects=65%

Total number of students =120

Tip: x% of y means

By using the given tip we can easily figure out the number of students who got A+

in subparts (i), (ii),(iii),(iv)

(i)

The no. of students who got A+ in both the subjects is

=78 students.

(ii)

The percentage of students who got A+ in Maths=70%

The percentage of students who got A+ in both subjects that is including maths and Bengali is=65%

Therefore, the percentage of students who got A+ only in Maths is=70-65

=5%

Therefore, the number of students who A+ only in Maths is =6 students

(iii)

The percentage of students who got A+ in Bengali is=85%

Therefore, the number of students who A+ in Bengali is

=102 students

(iv)

From the Venn Diagram drawn it is evident that the percentage of students who did not get A+ is 10%

( Percentage of students not having A+= 100%-(percentage of students

having A+ in both

subjects + percentage of

students having A+ in

only Bengali and Maths)

= 100%-90%

=10%)

Therefore, the no. of students who do not have A+ is

=

=12 students.