1750 boys and 1250 girls are examined in a test; 42% of the boys and 36% of the girls pass the test. The percentage of the total who failed is __________

Correct option is B

Ans. (B)
Sol. We are given:
· Number of boys = 1750, and 42% of them pass the test.
· Number of girls = 1250, and 36% of them pass the test.
Now, let's calculate the number of boys and girls who failed:
· Boys passing the test = 42% of 1750 = 0.42 × 1750 = 735
· Boys failing the test = 1750 - 735 = 1015
· Girls passing the test = 36% of 1250 = 0.36 × 1250 = 450
· Girls failing the test = 1250 - 450 = 800
Now, the total number of students = 1750 + 1250 = 3000
Total number of students who failed = 1015 (boys) + 800 (girls) = 1815
Percentage of students who failed = 18153000×100=60.5\frac{1815}{3000} \times 100 = 60.5%30001815​×100=60.5
Thus, the percentage of the total who failed is 60.5%.