Understanding Workers Wages Distribution
The problem involves calculating the total earnings of a specific group of workers (unskilled) based on their individual wage ratios and the total payment for a job completed by skilled, semi-skilled, and unskilled workers.
Calculating Wage Components
Let the daily wages of skilled, semi-skilled, and unskilled workers be $9x$, $5x$, and $4x$ respectively, according to the given ratio 9:5:4.
- Number of skilled workers = 12
- Number of semi-skilled workers = 14
- Number of unskilled workers = 10
Total Wage Calculation
The total earnings for each category are calculated as follows:
- Total earnings for skilled workers = $12 \times 9x = 108x$
- Total earnings for semi-skilled workers = $14 \times 5x = 70x$
- Total earnings for unskilled workers = $10 \times 4x = 40x$
The total payment for the job is the sum of earnings from all categories:
Total Payment = $108x + 70x + 40x = 218x$
We are given that the total payment is ₹13189.
Therefore, $218x = 13189$.
Determining the Value of 'x'
Solving for $x$:
$x = \frac{13189}{218}$
$x = 60.5$
Calculating Unskilled Workers' Earnings
The question asks for the total money earned by 10 unskilled workers.
Total earnings for 10 unskilled workers = $40x$
Substitute the value of $x$:
Total earnings = $40 \times 60.5$
Total earnings = $2420$
The total money earned by 10 unskilled workers is ₹2420.
Similar Questions
If the wages for 9 workers for 8 days are ₹2,880, what will be the wages for 15 workers for 9 days at the same rate?
- A alone can finish a job in 12 days, while B alone can finish it in 15 days. With the help of C, they can finish the same job in 5 days. If they are paid ₹2,880 for the whole job, what will be the share of C?
- X, Y and Z together earn ₹2,400/- in 15 days. X and Y together earn ₹1,840/- in 16 days. Y and Z together earn ₹1,530/- in 18 days. What is the daily earning (in ₹) of Y?
- 2 men and 3 women can earn ₹49 in 7 days. 3 men and 6 women can earn ₹96 in 8 days. In what time 1 man and 1 woman earn ₹27?
- Ram and Shyam can complete a work in 12 and 18 days respectively. They worked together and received ₹15,000 for doing the work. How much money did they receive individually?
- A alone can finish a task in 20 days, while B alone can finish it in 15 days. They together work for 5 days and stop, then the rest of the work is finished by C alone in 2 days. If they get paid ₹2,400 for finishing the whole task, then find the difference between the daily wages of C and A.
Important Questions from Work and Wages
A can complete a work alone in 8 days. B can complete the same work alone in 12 days. C alone complete the same work in 16 days. They complete the work in 3 days with the help of D. If they get Rs.12000 for the work, then how much money does the D get?
If 15 men can complete a work in 16 days by working 8 hours daily, then in how many days will 10 men complete the work by working 12 hours daily?
10 men working 8 hours a day can finish a work in 28 days. In how many days, 8 men working 5 hours a day with complete 50% of that work?
Twenty lamps can be lighted for 6 hr a day for 20 days at a cost of Rs. 100. How much would be the cost of lighting 40 lamps, 8 hr for 12 days?
Six men can complete a job in two days. Four boys can complete the same job in eight days. In how many days would three men and six boys, working together, be able to complete the job?
