6 men 8 women 6 children complete a job for a sum of Rs.950 if their individual wages are in ratio 4:3:2 the total money earned by the children is

Options

A. Rs.190
B. Rs.195
C. Rs.215
D. Rs.230

Answer

To find the total money earned by the children, we can follow these steps:

### Step 1: Understand the ratio of wages
The individual wages of men, women, and children are given in the ratio of 4:3:2.

### Step 2: Assign variables based on the ratio
Let the wages of men, women, and children be represented as:
- Wage of one man = 4K
- Wage of one woman = 3K
- Wage of one child = 2K

### Step 3: Calculate the total wages for each group
Now, we can calculate the total wages for 6 men, 8 women, and 6 children:
- Total wages of men = 6 men × 4K = 24K
- Total wages of women = 8 women × 3K = 24K
- Total wages of children = 6 children × 2K = 12K

### Step 4: Calculate the total wages
Now, we add the total wages of all groups:
Total wages = Total wages of men + Total wages of women + Total wages of children
Total wages = 24K + 24K + 12K = 60K

### Step 5: Set up the equation with the total payment
We know the total payment for the job is Rs. 950. Therefore, we can set up the equation:
60K = 950

### Step 6: Solve for K
Now, we can solve for K:
K = 950 / 60
K = 15.8333 (approximately)

### Step 7: Calculate the total money earned by the children
Now that we have the value of K, we can find the total money earned by the children:
Total money earned by children = 12K
Total money earned by children = 12 × 15.8333
Total money earned by children = 190

### Final Answer
The total money earned by the children is Rs. 190.

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