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The cost of repairing a road of length 2km 125m is estimated at rd 30,60,000. Out of the length of the road 1km 375m belongs to the municipality and the remaining to the road and building department. How much amount each has to bear to repair the part of the road under their control if the expenses have to be stored in the ratio 11:17.
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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
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The cost of repairing a road of length 2km 125m is estimated at rd 30,...
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The cost of repairing a road of length 2km 125m is estimated at rd 30,60,000. Out of the length of the road 1km 375m belongs to the municipality and the remaining to the road and building department. How much amount each has to bear to repair the part of the road under their control if the expenses have to be stored in the ratio 11:17.
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The cost of repairing a road of length 2km 125m is estimated at rd 30,60,000. Out of the length of the road 1km 375m belongs to the municipality and the remaining to the road and building department. How much amount each has to bear to repair the part of the road under their control if the expenses have to be stored in the ratio 11:17. for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about The cost of repairing a road of length 2km 125m is estimated at rd 30,60,000. Out of the length of the road 1km 375m belongs to the municipality and the remaining to the road and building department. How much amount each has to bear to repair the part of the road under their control if the expenses have to be stored in the ratio 11:17. covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The cost of repairing a road of length 2km 125m is estimated at rd 30,60,000. Out of the length of the road 1km 375m belongs to the municipality and the remaining to the road and building department. How much amount each has to bear to repair the part of the road under their control if the expenses have to be stored in the ratio 11:17..
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