Correct Answer - Option 1 : 10000
Given:
Those who failed in Math = 60%
Those who failed in Physics = 80%
Those who passed in both Math and Physics = 15%
The total number of candidates who failed in both Math and Physics = 5500
Calculation:
Let the total number of candidates who appeared in the examination be 100%.
The total candidates who failed in at least one subject= 100% - Passed in both Math and Physics
⇒ 100% - 15%
⇒ 85% ----(1)
The total candidates who failed in both examination = Failed in Math + Failed in Physics - Failed in at least one subject
⇒ The total number of candidates who failed in both examinations = 60 + 80 - 85
⇒ The total candidates who failed in both examinations = 55%
According to the question,
⇒ 55% ≡ 5500
⇒ 1% ≡ 100
⇒ 100% ≡ 10000
∴ The total number of candidates who appeared in the examination is 10000.