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In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.
  • a)
    600
  • b)
    800
  • c)
    750
  • d)
    775
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In an exam, 60% of the candidates passed in Maths and 70% candidates p...
Let total number of students appear be X.
X = 750
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In an exam, 60% of the candidates passed in Maths and 70% candidates p...
Given:

Percentage of candidates passed in Maths = 60%

Percentage of candidates passed in English = 70%

Percentage of candidates failed in both subjects = 10%

Number of candidates passed in both subjects = 300

Let the total number of candidates appeared in the exam be 'x'

Calculation:

Number of candidates passed in Maths = 60% of x = 0.6x

Number of candidates passed in English = 70% of x = 0.7x

Number of candidates failed in both subjects = 10% of x = 0.1x

Number of candidates passed in at least one subject = (Number of candidates passed in Maths) + (Number of candidates passed in English) - (Number of candidates passed in both subjects)

Number of candidates passed in at least one subject = 0.6x + 0.7x - 300

Number of candidates passed in at least one subject = 1.3x - 300

Number of candidates passed in at least one subject = Total number of candidates - Number of candidates failed in both subjects

Number of candidates passed in at least one subject = x - 0.1x

Number of candidates passed in at least one subject = 0.9x

Equating the above two equations, we get:

0.9x = 1.3x - 300

0.4x = 300

x = 750

Therefore, the total number of candidates appeared in the exam is 750.

Hence, option (c) is the correct answer.
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In an exam, 60% of the candidates passed in Maths and 70% candidates passed in English and 10% of the candidates failed in both the subjects, 300 candidates passed in both the subjects. Find the total number of candidates appeared in the exam, if they took test in only two subjects that is Math and English.a)600b)800c)750d)775Correct answer is option 'C'. Can you explain this answer?
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