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?
Answer: 64.7%
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%