Factory Workers Calculation
This solution explains how to find the total number of workers in a factory based on given percentage information.
Information Given:
- Percentage of workers above 30 years = 60%
- Of workers above 30, percentage of males = 75%
- Number of male workers above 30 years = 135
Step 1: Calculate the Number of Workers Above 30
Let $N_{>30}$ be the number of workers above 30 years. We know that 75% of these workers are males, and there are 135 male workers above 30.
So, we can write the equation:
$ 75\% \text{ of } N_{>30} = 135 $ $ 0.75 \times N_{>30} = 135 $To find $N_{>30}$, we rearrange the equation:
$ N_{>30} = \frac{135}{0.75} $ $ N_{>30} = \frac{135}{3/4} $ $ N_{>30} = 135 \times \frac{4}{3} $ $ N_{>30} = 45 \times 4 $ $ N_{>30} = 180 $Therefore, there are 180 workers above 30 years of age.
Step 2: Calculate the Total Number of Workers
Let $N_{Total}$ be the total number of workers in the factory. We are given that 60% of the total workers are above 30 years.
Using the result from Step 1, we can set up the equation:
$ 60\% \text{ of } N_{Total} = N_{>30} $ $ 0.60 \times N_{Total} = 180 $To find $N_{Total}$, we rearrange the equation:
$ N_{Total} = \frac{180}{0.60} $ $ N_{Total} = \frac{180}{6/10} $ $ N_{Total} = 180 \times \frac{10}{6} $ $ N_{Total} = 30 \times 10 $ $ N_{Total} = 300 $The total number of workers in the factory is 300.
Important Questions from Percentage
In an examination, 25% of the candidates failed in Mathematics and 12% failed in English. If 10% of the candidates failed in both the subjects and 292 candidates passed in both the subjects, which one of the following is the number of total candidates appeared in the examination?
What is the value of 9% of 5500 + 2.4% of 1100 - 40% of 1600?
Population of a village is 7960 in which 4660 are female. If in that village 60% are literate in which 70% female are literate, then what is the number of literate male ?
The numbers of students of three classes of a school are in the ratio 4 : 5 : 6. If numbers of students in these classes increase by 25%, 20% and 25% respectively, then ratio of numbers of students will become:
In an examination, Ram obtained 20 % more than Ashok but 10% less than Rajesh. If the marks obtained by Ashok is 1080. Then the Percentage marks obtained by Rajesh if the full marks is 2000 ;
