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The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter?
Most Upvoted Answer
The total cost of a certain length of a piece of cloth is Rs.200.If th...
Given:
Total cost of cloth = Rs. 200
Cost reduction per meter = Rs. 2
Let x be the original length of the cloth and y be the original cost per meter.
Equation 1:
xy = 200
Equation 2:
(x+5)(y-2) = 200
Solving equations 1 and 2:
xy + 5y - 2x - 10 = 200
200 + 5y - 2x - 10 = 200
5y - 2x - 10 = 0
5y = 2x + 10
y = (2x + 10)/5
Substitute y in equation 1:
x * (2x + 10)/5 = 200
2x^2 + 10x = 1000
2x^2 + 10x - 1000 = 0
x^2 + 5x - 500 = 0
(x + 25)(x - 20) = 0
x = 20 (length cannot be negative)
Therefore, the original length of the cloth is 20 meters.
Substitute x back into equation 1:
20y = 200
y = 10
Therefore, the original cost per meter is Rs. 10.
Total cost of cloth = Rs. 200
Cost reduction per meter = Rs. 2
Let x be the original length of the cloth and y be the original cost per meter.
Equation 1:
xy = 200
Equation 2:
(x+5)(y-2) = 200
Solving equations 1 and 2:
xy + 5y - 2x - 10 = 200
200 + 5y - 2x - 10 = 200
5y - 2x - 10 = 0
5y = 2x + 10
y = (2x + 10)/5
Substitute y in equation 1:
x * (2x + 10)/5 = 200
2x^2 + 10x = 1000
2x^2 + 10x - 1000 = 0
x^2 + 5x - 500 = 0
(x + 25)(x - 20) = 0
x = 20 (length cannot be negative)
Therefore, the original length of the cloth is 20 meters.
Substitute x back into equation 1:
20y = 200
y = 10
Therefore, the original cost per meter is Rs. 10.
Community Answer
The total cost of a certain length of a piece of cloth is Rs.200.If th...
Length=20m and cost piece per m= Rs.10
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The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter?
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The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter?.
The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The total cost of a certain length of a piece of cloth is Rs.200.If the peice was 5 m longer and each meter cloth costs Rs 2 less , the cost of the peice would have remained unchanged.How long is the peice amd what os its priginal rate per meter?.
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