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
A number p increased by p% of 99 equals 99 increased by 99% of p. What is (p + 51)% of 928 + 72?
Amina saves 16% of her income. Now her income is increased by 20% but she still saves the same amount as before. What is the percentage increase in her expenditure?
What is 12% of 4% of 7% of 2 × 10 6 ?
Vignesh spends 42% of his monthly salary on food, 16% on house rent, 11% on entertainment and 7% on conveyance. But due to some family function, he has to borrow Rs. 12,000 from a money leader to meet the expenses of Rs. 18,000 What is his monthly salary?
If X is 12.25% more than Y. then Y is approximately_____ less than X.
