45000 candidates appeared in examination. Out of these,40% were girls. If 70% boys and 75% girls passed, what was the result percentage ?
.70*.60 + .75*.40 = .72
To find the result percentage, we need to calculate the total number of candidates who passed the examination and then express it as a percentage of the total number of candidates who appeared.
First, let's calculate the number of girls who appeared for the examination:
Number of girls = 40% of 45000 = (40/100) × 45000 = 18000
Next, let's calculate the number of boys who appeared for the examination:
Number of boys = Total candidates - Number of girls = 45000 - 18000 = 27000
Now, let's calculate the number of girls who passed the examination:
Number of girls passed = 75% of Number of girls = (75/100) × 18000 = 13500
Similarly, let's calculate the number of boys who passed the examination:
Number of boys passed = 70% of Number of boys = (70/100) × 27000 = 18900
Now, let's calculate the total number of candidates who passed the examination:
Total candidates passed = Number of boys passed + Number of girls passed = 18900 + 13500 = 32400
Finally, let's calculate the result percentage:
Result percentage = (Total candidates passed / Total candidates appeared) × 100
Result percentage = (32400 / 45000) × 100 = 72%
Therefore, the result percentage of the examination is 72%.