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In an examination 42% of the candidates failed in physics, 24% of the candidates failed in Chemistry and 14% of the candidates failed in both the subjects. If 72 candidates passed in both, find the total number of candidates in the examination.
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- 120
- 130
- 150
- 160
Correct Option: C
Percentage of students failed only in :
Physics = 42 – 14 = 28
Chemistry = 24 – 14 = 10
∴ Percentage of students who
failed in Physics or Chemistry or both = 28 + 10 + 14 = 52
∴ Percentage of candidates who passed
= 100 – 52 = 48
If the total number of students be x, then
| x × | = 72 | 100 |
| ⇒ x = | = 150 | 48 |
