The average salary of a group of unskilled workers is ₹10000and that o...
**Solution:**
Let's assume there are x skilled workers and y unskilled workers.
**Average salary of unskilled workers:** ₹10,000
**Average salary of skilled workers:** ₹15,000
**Combined salary:** ₹12,000
We need to find the percentage of skilled workers.
**Step 1: Calculating the total salary of unskilled workers:**
Total salary of unskilled workers = Average salary of unskilled workers * Number of unskilled workers
Total salary of unskilled workers = ₹10,000 * y
**Step 2: Calculating the total salary of skilled workers:**
Total salary of skilled workers = Average salary of skilled workers * Number of skilled workers
Total salary of skilled workers = ₹15,000 * x
**Step 3: Forming the equation based on the given information:**
Total salary = Total salary of unskilled workers + Total salary of skilled workers
₹12,000 = ₹10,000 * y + ₹15,000 * x
**Step 4: Simplifying the equation:**
₹12,000 = ₹10,000y + ₹15,000x
Dividing the equation by ₹1,000, we get:
12 = 10y + 15x
**Step 5: Checking the options:**
Let's substitute the given options to check which one satisfies the equation.
a) 40% skilled workers:
If there are 40% skilled workers, then the remaining 60% would be unskilled workers.
x = 40% of total workers = 0.4 * (x + y)
y = 60% of total workers = 0.6 * (x + y)
Substituting these values in the equation:
12 = 10 * (0.6 * (x+y)) + 15 * (0.4 * (x+y))
Simplifying the equation, we get:
12 = 6(x + y) + 6(x + y)
12 = 12(x + y)
The equation is satisfied.
Therefore, the percentage of skilled workers is **40%**.
b) 50% skilled workers:
If there are 50% skilled workers, then the remaining 50% would be unskilled workers.
x = 50% of total workers = 0.5 * (x + y)
y = 50% of total workers = 0.5 * (x + y)
Substituting these values in the equation:
12 = 10 * (0.5 * (x+y)) + 15 * (0.5 * (x+y))
Simplifying the equation, we get:
12 = 5(x + y) + 7.5(x + y)
12 = 12.5(x + y)
The equation is not satisfied.
Therefore, the percentage of skilled workers is not 50%.
c) 60% skilled workers:
If there are 60% skilled workers, then the remaining 40% would be unskilled workers.
x = 60% of total workers = 0.6 * (x + y)
y = 40% of total workers = 0.4 * (x + y)
Substituting these values in the equation:
12 = 10 * (0.4 * (x+y)) + 15 *
The average salary of a group of unskilled workers is ₹10000and that o...
Average salary of a group of unskilled workers is 10000, and the average salary of skilled workers is 15000 then here we have combined salary is 12000,by the formula combined average n1*10000+n2*15000/n1+n2=12000,therefore n1/n2 =2000/3000=
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