There are four types of candidates in our coaching preparing for the CAT. The number of students of Engineering, Science, Commerce and Humanities is 40, 60, 50 and 30 respectively and the respective percentage of students who qualified the CAT is 80%, 75%, 60% and 50% respectively. The overall percentage of successful candidates in our institute is:

67.77%

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66.66%

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68.5%

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none of these

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Solution

The correct option is A 67.77%
$\frac{40 \times 0.8 + 60 \times 0.75 + 50 \times 0.6 + 30 \times 0.5}{180} \times 100 = \frac{122}{180} \times 100 = 67.777 \dots %$

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The correct option is A 67.77%40×0.8+60×0.75+50×0.6+30×0.5180×100=122180×100=67.777⋯%

The correct option is A 67.77%
$\frac{40 \times 0.8 + 60 \times 0.75 + 50 \times 0.6 + 30 \times 0.5}{180} \times 100 = \frac{122}{180} \times 100 = 67.777 \dots %$