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In a class of 80 students, 60% passed in...

In a class of 80 students, 60% passed in Economics and only 20% passed in History. The number of students who neither passed in Economics nor in History are:

A

20

B

12

C

24

D

16

Text Solution

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The correct Answer is:
To solve the problem step by step, we will follow the given information and perform the necessary calculations. ### Step 1: Calculate the number of students who passed in Economics. - Total students = 80 - Percentage of students who passed in Economics = 60% To find the number of students who passed in Economics: \[ \text{Number of students passed in Economics} = \frac{60}{100} \times 80 = 48 \] ### Step 2: Calculate the number of students who passed in History. - Percentage of students who passed in History = 20% To find the number of students who passed in History: \[ \text{Number of students passed in History} = \frac{20}{100} \times 80 = 16 \] ### Step 3: Calculate the total number of students who passed in either Economics or History. - Total students passed in Economics = 48 - Total students passed in History = 16 To find the total number of students who passed in either subject: \[ \text{Total passed} = 48 + 16 = 64 \] ### Step 4: Calculate the number of students who neither passed in Economics nor in History. - Total students = 80 - Total students who passed in either subject = 64 To find the number of students who neither passed: \[ \text{Students who neither passed} = 80 - 64 = 16 \] ### Final Answer: The number of students who neither passed in Economics nor in History is **16**. ---
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