Question
Download Solution PDFIn a college of 25000 students are there, in which 55% are boys. If 30% of the girls and 50% of the boys failed in the examination, then find the number of students who passed in the examination.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Total number of students = 25000
Percentage of boys = 55%
Percentage of girls = 100% - 55% = 45%
Percentage of boys failed = 50%
Percentage of girls failed = 30%
Formula used:
Number of boys passed = Total number of boys × (1 - Percentage of boys failed)
Number of girls passed = Total number of girls × (1 - Percentage of girls failed)
Total number of students passed = Number of boys passed + Number of girls passed
Calculations:
Number of boys = 25000 × 55% = 25000 × 0.55 = 13750
Number of girls = 25000 × 45% = 25000 × 0.45 = 11250
Number of boys passed = 13750 × (1 - 50%) = 13750 × 0.50 = 6875
Number of girls passed = 11250 × (1 - 30%) = 11250 × 0.70 = 7875
⇒ Total number of students passed = 6875 + 7875 = 14750
∴ The correct answer is option 1.
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