Question

In a class 64% students have taken Politics and 56% students have taken History.How many students have taken both the subjects?

Answer 1

Answer:

the answer is

Explanation:

64+56=120

so

we know that the total %is 100

but here it is 120

so,

120- 100= 20%

so 20% of people took both politics and history

Answer 2

Answer:

Total number of students who took both the subjects = 20%

Explanation:

Concept: Percentages

Given:

Total Number of students who took Politics = 64%

Total Number of students who took History = 56%

To Find:

Number of students who took both the subjects i.e. History and Politics

Assumption:

Let us assume that there are 100 students in the class.

Solution:

Total Number of students who took Politics = 64%

If, there are 100 students in the class

Then the number of students who took politics = 100 x 64% = 64

Thus, the number of students who took politics = 64

Total Number of students who took History = 56%

Then the number of students who took History = 100 x 56% = 56

Thus, the number of students who took History = 56

But, the total number of students is 100

Therefore, there are few students who took both subjects.

Total number of opted subjects = The number of students who took politics + The number of students who took History

Total number of opted subjects = 64 + 56 = 120

Thus, the total number of opted subjects = 120

Total number of students who took both the subjects = Total number of opted subjects - Total number of students

Total number of students who took both the subjects = (120 - 100)% = 20%

Total number of students who took both the subjects = 20%

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