Question

In a class there are 50 students like arthematics 30% of students like reasoning 20% of students like both arthmetics and reasoning.Only arthematics like 120. Now how many people like reasoning?

Answer 1

Answer:

72 students like reasoning.

Step-by-step explanation:

Let total students be x.

Students who like only arithmetics = 120

% of students who like only arithmetics = 50%

Now, 50% of x = 120

50/100 × x = 120

1/2 × x = 120

x = 120×2

x = 240

Total number of students = 240

% of students who like only reasoning = 30%

Students who like only reasoning = 30% of 240

= 30/100 × 240

= 3/10 × 240

= 72