# In an examination 70% of the candidate passed in English, 80% passed in Mathematics, 10% failed in both subjects. If 144 candidates passed in both, the total number of candidates was :

A. 125

B. 200

C. 240

D. 375

**Answer: Option C **

__Solution(By Examveda Team)__

Failed candidates in English = (100 - 70) = 30%Failed candidates in Mathematics = (100 - 80) = 20%

Candidates who fail in both subject = 10% Candidates who only fail in English = 30 - 10 = 20%

Candidates who only fail in Mathematics = 20 - 10 = 10%

Percentage of passed students in both subject

= 100 - (Candidates who only fail in English + Candidates who only fail in Mathematics + Candidates who fail in both subject)

= 100 - (20 + 10 + 10)

= 60%

According to the question,

60% of students = 144

Total students :

= $$\frac{144}{60}$$ × 100

= 240

Related Questions on Percentage

A. $$\frac{1}{4}$$

B. $$\frac{1}{3}$$

C. $$\frac{1}{2}$$

D. $$\frac{2}{3}$$

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