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In an office 80% of the employees are male. Among them 20% are matriculates and remaining are graduates. Among them females 25% are matriculates and the remaining are graduates. If the total numbers of the female employees of the office is 600, how many graduates are in the Office?
- a)3000
- b)2370
- c)2540
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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In an office 80% of the employees are male. Among them 20% are matricu...
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In an office 80% of the employees are male. Among them 20% are matricu...
Given information:
- 80% of employees are male
- Among male employees, 20% are matriculates and the remaining are graduates
- Among female employees, 25% are matriculates and the remaining are graduates
- The total number of female employees is 600
Let's find the total number of employees in the office first.
Total number of employees = number of male employees + number of female employees
Since 80% of the employees are male, we can calculate the number of male employees as follows:
Number of male employees = (80/100) * Total number of employees
Now, let's find the number of male graduates.
Number of male graduates = (100 - 20)% of male employees
= (80/100) * (100 - 20)% of Total number of employees
= (80/100) * (80/100) * Total number of employees
= (64/100) * Total number of employees
Similarly, let's find the number of female graduates.
Number of female graduates = (100 - 25)% of female employees
= (75/100) * Total number of female employees
= (75/100) * 600
= 450
Now, let's find the total number of graduates in the office.
Total number of graduates = Number of male graduates + Number of female graduates
= (64/100) * Total number of employees + 450
Since we know that the total number of female employees is 600, we can solve the equation to find the total number of employees.
600 = (20/100) * Total number of employees
Total number of employees = (600 * 100) / 20
= 3000
Finally, let's substitute the value of the total number of employees in the equation for the total number of graduates.
Total number of graduates = (64/100) * 3000 + 450
= 1920 + 450
= 2370
Therefore, the correct answer is option B) 2370.
- 80% of employees are male
- Among male employees, 20% are matriculates and the remaining are graduates
- Among female employees, 25% are matriculates and the remaining are graduates
- The total number of female employees is 600
Let's find the total number of employees in the office first.
Total number of employees = number of male employees + number of female employees
Since 80% of the employees are male, we can calculate the number of male employees as follows:
Number of male employees = (80/100) * Total number of employees
Now, let's find the number of male graduates.
Number of male graduates = (100 - 20)% of male employees
= (80/100) * (100 - 20)% of Total number of employees
= (80/100) * (80/100) * Total number of employees
= (64/100) * Total number of employees
Similarly, let's find the number of female graduates.
Number of female graduates = (100 - 25)% of female employees
= (75/100) * Total number of female employees
= (75/100) * 600
= 450
Now, let's find the total number of graduates in the office.
Total number of graduates = Number of male graduates + Number of female graduates
= (64/100) * Total number of employees + 450
Since we know that the total number of female employees is 600, we can solve the equation to find the total number of employees.
600 = (20/100) * Total number of employees
Total number of employees = (600 * 100) / 20
= 3000
Finally, let's substitute the value of the total number of employees in the equation for the total number of graduates.
Total number of graduates = (64/100) * 3000 + 450
= 1920 + 450
= 2370
Therefore, the correct answer is option B) 2370.
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