Question:
In an examination, 70% candidates passed in English, 80% passed in Mathematics, and 10% failed in both subjects. If 144 candidates passed in both subjects, what was the total number of candidates?
एक परीक्षा में 70% उम्मीदवार अंग्रेजी में, 80% गणित में उत्तीर्ण हुए और 10% दोनों विषयों में अनुत्तीर्ण रहे। यदि 144 उम्मीदवार दोनों विषयों में उत्तीर्ण हुए, तो कुल उम्मीदवारों की संख्या क्या थी?
Options:
- 240
- 200
- 250
- 300
- 240
- 200
- 250
- 300
Correct Answer: a)
Explanation:
Failed in English = 30%; Failed in Maths = 20%; Failed in both = 10%.
Failed in at least one = \(30 + 20 – 10 = 40\%\).
Passed in both = \(100\% – 40\% = 60\%\).
\(60\% \text{ of } N = 144 \implies N = \frac{144}{0.60} = 240\).
Failed in at least one = \(30 + 20 – 10 = 40\%\).
Passed in both = \(100\% – 40\% = 60\%\).
\(60\% \text{ of } N = 144 \implies N = \frac{144}{0.60} = 240\).
दोनों में उत्तीर्ण = \(100 – (30 + 20 – 10) = 60\%\)। \(60\% = 144 \implies\) कुल छात्र = 240।