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40% of the candidates in an examination were girls. 35% of the boys and 20% of the girls failed, and 585 boys passed in the
examination. The number of girls who passed were:
460
450
580
480
- The total candidates can be divided into boys and girls.
- 40% of candidates are girls, meaning 60% are boys.
- Let the total number of candidates be \( x \).
- Then, the number of boys is \( 0.6x \) and girls is \( 0.4x \).
- 35% of the boys failed, so 65% of the boys passed.
- If 585 boys passed, then \( 0.65 \times 0.6x = 585 \).
- Solving for \( x \), we get \( x = 1500 \).
- Thus, there are 600 girls (0.4 * 1500).
- 20% of the girls failed, so 80% passed.
- The number of girls who passed is 0.8 * 600.
- Hence, 480 girls passed.
- The correct number of girls who passed is 480.
By: santosh ProfileResourcesReport error
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