In the examination, 900 candidates were boys and 1100 were girls. If the 32% of the boys and 38% of the girls passed the the examination, the total percentage (of the boys and girls together) of candidates that failed will be?
In the examination, 900 candidates were boys and 1100 were girls. If the 32% of the boys and 38% of the girls passed the the examination, the total percentage (of the boys and girls together) of candidates that failed will be?
Explanation
Number of boys who passed = 32% of 900 = 0.32 x 900 = 288
Number of girls who passed = 38% of 1100 = 0.38 x 1100 = 418
Total number of candidates who passed = 288 + 418 = 706
Total number of candidates = 900 (boys) + 1100 (girls) = 2000
Number of candidates who failed = Total number of candidates - Number of candidates who passed = 2000 - 706 = 1294
Total percentage of candidates who failed = (Number of candidates who failed / Total number of candidates) x 100 = (1294 / 2000) x 100 = 64.7%
So, the correct answer is: 64.7%