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There are 100 students in a class, out of which 70% are girls and others are boys. The average score of girls in a test is 20%
more than that of boys. If the average score of all the students is 57, then what is the average score of boys?
60
45
50
75
- There are 100 students in the class.
- 70% of the students are girls, which means there are 70 girls.
- The remaining 30 students are boys.
- The girls' average score is 20% more than the boys' average.
- The overall average score of all students is 57.
- Let's assume the average score of boys is \( x \).
- Therefore, the average score of girls would be \( 1.2x \).
- Using the formula for the total score: \( 70 \times 1.2x + 30 \times x = 5700 \).
- Simplifying gives: \( 84x + 30x = 5700 \).
- Further simplification: \( 114x = 5700 \).
- Solving for \( x \): \( x = 5700 / 114 = 50 \).
Option 3: 50 is the correct answer.
By: santosh ProfileResourcesReport error
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