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
Radha saves 25% of her income. If her expenditure increases by 20% and her income increases by 29%, then her savings increase by;
The income of A is 45% more than the income of B and the income of C is 60% less than the sum of the incomes of A and B. The income of D is 20% more than that of C. If the difference between the incomes of B and D is Rs. 13200, then the income (in Rs.) of C is:
The price of cooking oil increased by 25%. Find by how much percentage a family must reduce its consumption in order to maintain the same budget.
The population of a city increased by 30% in the first year and decreased by 15% in the next year. If the present population is 11,050 then population 2 years ago was:
The income of A is 30% less than the income of B and the income of B is 137.5% more than that of C. If the income of A is Rs. 28500 less than that of B, then the income (in Rs.) of C is:
