Select the correct answer8 boys and 15 girls can do a piece of work in 5 days while 4 boys and 3 girls can do the same work in 15 days. If the group is paid Rs. 27,000 for the task, what will be the wage paid to each boy and girl per day?radio_button_uncheckedRs. 200, Rs. 100radio_button_uncheckedRs. 200, Rs. 300radio_button_uncheckedRs. 300, Rs. 200radio_button_uncheckedRs. 250, Rs. 150

Let's solve this problem step by step.

Step 1: Let's denote the amount of work a boy can do in a day as B and the amount of work a girl can do in a day as G.

Step 2: According to the problem, we have two equations:

8B + 15G = 1/5 (since 8 boys and 15 girls can complete the work in 5 days)

4B + 3G = 1/15 (since 4 boys and 3 girls can complete the work in 15 days)

Step 3: Multiply the second equation by 2, we get 8B + 6G = 2/15.

Step 4: Subtract the new equation from the first equation, we get 9G = 1/5 - 2/15 = 1/15. So, G = 1/135.

Step 5: Substitute G = 1/135 into the second equation, we get 4B = 1/15 - 3/135 = 6/135. So, B = 6/540 = 1/90.

Step 6: The total wage for the work is Rs. 27,000 and it takes 5 days to complete the work. So, the wage per day is Rs. 27,000 / 5 = Rs. 5,400.

Step 7: Since a boy can do 1/90 of the work in a day and a girl can do 1/135 of the work in a day, the wage paid to each boy per day is Rs. 5,400 * 1/90 = Rs. 60 and the wage paid to each girl per day is Rs. 5,400 * 1/135 = Rs. 40.

So, the correct answer is not in the options given. The wage paid to each boy per day should be Rs. 60 and the wage paid to each girl per day should be Rs. 40.