Question

In an examination, $52 \%$ students failed in English and $42 \%$ failed in Maths. If $17 \%$ students failed in both the subjects, then find the percentage of those students who passed in both the subjects.

(a) $40 \%$

(b) $23 \%$

(c) $24 \%$

(c) $24 \%$

Answer 1

Let, the number of students appeared $=100$

Number of students who failed in English only $=52-17=35$

Number of students who failed in Maths only $=42-17=25$

Number of students who failed in at least one of the subjects

$=35+25+17=77$

$\therefore$ Number of students who passed in both the subjects $=100-77=23 \%$ : Ans.

$\therefore \quad$ True option $=(b)$

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Trick : \% passed = $100-\%$ failed Failed in both subjects $=52+42-17=77 \%$

$$

\text { passed }=100-77

$$

$$

=23 \% \text {; Ans. }

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