The cost of repairing a road of length 2km 125m is estimated at rd 30,...
Cost Sharing for Road Repair
Given:
- Length of road: 2km 125m
- Total cost of repair: Rs. 30,60,000
- Length of road belonging to Municipality: 1km 375m
- Ratio of expenses for Municipality : Road and Building Department = 11:17
Solution:
Calculating the length of the road for the Road and Building Department
- Length of road belonging to Municipality: 1km 375m
- Total length of road: 2km 125m
- Length of road belonging to Road and Building Department: Total length - length belonging to Municipality
- Length of road belonging to Road and Building Department: (2km 125m) - (1km 375m)
- Length of road belonging to Road and Building Department: 750m
Calculating the cost of repair for each department
- Total cost of repair: Rs. 30,60,000
- Ratio of expenses for Municipality : Road and Building Department = 11:17
- Let the cost of repair for the Municipality be Rs. 11x
- Let the cost of repair for the Road and Building Department be Rs. 17x
- Total ratio = 11+17 = 28
- Therefore, Rs. 28x = Rs. 30,60,000
- x = Rs. 1,09,285.71
Distributing the cost of repair between the two departments
- Cost of repair for the Municipality = 11x = 11 * Rs. 1,09,285.71 = Rs. 12,02,142.81
- Cost of repair for the Road and Building Department = 17x = 17 * Rs. 1,09,285.71 = Rs. 18,57,142.87
Conclusion:
- The cost of repair for the Municipality is Rs. 12,02,142.81
- The cost of repair for the Road and Building Department is Rs. 18,57,142.87
- Therefore, the Municipality has to bear Rs. 12,02,142.81 and the Road and Building Department has to bear Rs. 18,57,142.87