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12500 students appeared in an exam. 50% of the boys and 70% of the girls cleared the examination. If the total percent of students qualifying is 60%, how many girls appeared in the exam?
6500
6200
5500
6250
- Let's denote the number of boys as \( b \) and the number of girls as \( g \).
- According to the problem, \( b + g = 12500 \).
- 50% of the boys cleared the exam, so \( 0.5b \) boys passed.
- 70% of the girls cleared the exam, so \( 0.7g \) girls passed.
- The total percentage of students who passed is 60%, so \( 0.6 \times 12500 = 7500 \) students passed.
- The equation from the total passes becomes: \( 0.5b + 0.7g = 7500 \).
By solving these equations simultaneously:
$$ b + g = 12500 $$
$$ 0.5b + 0.7g = 7500 $$
You will find that:
$$ g = 6250 $$
- Option 1: 6500 - Higher than calculated
- Option 2: 6200 - Less than calculated
- Option 3: 5500 - Much less than calculated
- Option 4: 6250 - ?? Correct Answer
By: Parvesh Mehta ProfileResourcesReport error
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