Three workers A, B and C are given a job to paint a room. At the end of each day, they are given Rs. 800 collectively as wages. If A worked alone, the work would be completed in 6 days. If B worked alone, the work would be completed in 8 days. If C worked alone, the work would be completed in 24 days. Find their individual daily wages.*1 pointA = Rs. 100, B = Rs. 300, C = Rs. 400A = Rs. 100, B = Rs. 300, C = Rs. 200A = Rs. 300, B = Rs. 300, C = Rs. 300A = Rs. 400, B = Rs. 300, C = Rs. 100

First, we need to find the work done by each worker in a day.

1. Worker A completes the work in 6 days, so in 1 day, A does 1/6 of the work.
2. Worker B completes the work in 8 days, so in 1 day, B does 1/8 of the work.
3. Worker C completes the work in 24 days, so in 1 day, C does 1/24 of the work.

Now, let's add up the work done by all three workers in a day:

(1/6) + (1/8) + (1/24) = 4/24 + 3/24 + 1/24 = 8/24 = 1/3

So, together, they do 1/3 of the work in a day.

Now, let's find out how much each worker should be paid based on the work they do. The total wage for a day is Rs. 800, so:

1. Worker A should be paid (1/6) / (1/3) * 800 = Rs. 400
2. Worker B should be paid (1/8) / (1/3) * 800 = Rs. 300
3. Worker C should be paid (1/24) / (1/3) * 800 = Rs. 100

So, the correct answer is A = Rs. 400, B = Rs. 300, C = Rs. 100.

To solve this problem, we first need to understand that the amount of work done by each worker is inversely proportional to the time they take to complete the job. This means that the worker who takes less time to complete the job does more work per day, and should therefore be paid more.

Let's denote the amount of work done by A in one day as a, by B as b, and by C as c.

Since A can complete the work in 6 days, a = 1/6 of the total work. Since B can complete the work in 8 days, b = 1/8 of the total work. Since C can complete the work in 24 days, c = 1/24 of the total work.

The total amount of work done by A, B, and C in one day is a + b + c = 1/6 + 1/8 + 1/24 = 1/3 + 1/3 + 1/3 = 1. This means that they can complete the job in one day if they work together.

The daily wage of each worker should be proportional to the amount of work they do in one day. Therefore, the daily wage of A should be a * 800 = (1/6) * 800 = Rs. 133.33, the daily wage of B should be b * 800 = (1/8) * 800 = Rs. 100, and the daily wage of C should be c * 800 = (1/24) * 800 = Rs. 33.33.

However, these numbers do not match any of the options given in the question. It seems like there might be a mistake in the question or in the given options.