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1200 boys and 800 girls are examined for class 10th. 45% of the boys and 35% of the girls pass. The percentage of the total who failed?


1. 55%
2. 58%
3. 57%
4. 59%
5. 60%

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Correct Answer - Option 4 : 59%

Given:

Boys = 1200, Girls = 800

Passing percentage of boys = 45%

Passing percentage of girls = 35%

Formula used:

Failure Percentage = [(Total student – Passing student)/Total student × 100

Calculation:

Total number of student = 1200 + 800 = 2000

Total number of students pass = 45% of 1200 + 35% of 800

⇒ (45/100) × 1200 + (35/100) × 800

⇒ 540 + 280

⇒ 820

Numbers of student fails = 2000 – 820 = 1180

Percentage failure = (1180/2000) × 100

⇒ 118/2

⇒ 59

The percentage of failure students is 59%.

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