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The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for the
year 2013 is 512.6.
year 2013 is 512.6.
Important : you should answer only the numeric value
Correct answer is '1032386'. Can you explain this answer?
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Given:
- Purchase cost of a heat exchanger of 20 m2 area in 2006 = Rs. 500000
- Cost index for 2006 = 430.2
- Projected cost index for 2013 = 512.6
- Scaling factor rule = six-tenths factor rule
To find:
- Estimated cost of a similar heat exchanger of 50 m2 area in the year 2013
Solution:
1. Calculate the cost index factor (CIF) using the cost index for 2006 and the projected cost index for 2013:
CIF = (Projected cost index for 2013) / (Cost index for 2006)
CIF = 512.6 / 430.2
CIF ≈ 1.192
2. Calculate the scaling factor using the six-tenths factor rule and the ratio of the areas:
Scaling factor = (50 m2 / 20 m2)^0.6
Scaling factor ≈ 1.532
3. Calculate the estimated cost using the purchase cost of the original heat exchanger and the scaling factor and cost index factor:
Estimated cost = (Purchase cost of original heat exchanger) x (Scaling factor) x (Cost index factor)
Estimated cost = 500000 x 1.532 x 1.192
Estimated cost ≈ 1032386
Therefore, the estimated cost of a similar heat exchanger of 50 m2 area in the year 2013 is Rs. 1032386 (rounded to the nearest integer).
- Purchase cost of a heat exchanger of 20 m2 area in 2006 = Rs. 500000
- Cost index for 2006 = 430.2
- Projected cost index for 2013 = 512.6
- Scaling factor rule = six-tenths factor rule
To find:
- Estimated cost of a similar heat exchanger of 50 m2 area in the year 2013
Solution:
1. Calculate the cost index factor (CIF) using the cost index for 2006 and the projected cost index for 2013:
CIF = (Projected cost index for 2013) / (Cost index for 2006)
CIF = 512.6 / 430.2
CIF ≈ 1.192
2. Calculate the scaling factor using the six-tenths factor rule and the ratio of the areas:
Scaling factor = (50 m2 / 20 m2)^0.6
Scaling factor ≈ 1.532
3. Calculate the estimated cost using the purchase cost of the original heat exchanger and the scaling factor and cost index factor:
Estimated cost = (Purchase cost of original heat exchanger) x (Scaling factor) x (Cost index factor)
Estimated cost = 500000 x 1.532 x 1.192
Estimated cost ≈ 1032386
Therefore, the estimated cost of a similar heat exchanger of 50 m2 area in the year 2013 is Rs. 1032386 (rounded to the nearest integer).
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The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer?
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The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer?.
The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer?.
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The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer?, a detailed solution for The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? has been provided alongside types of The purchase cost of a heat exchanger of 20 m2 area was Rs. 500000 in 2006. What will be the estimated cost (in Rs. to the nearest integer) of a similar heat exchanger of 50 m2 area in the year 2013? Assume the six-tenths factor rule for scaling and the cost index for 2006 as 430.2. The projected cost index for theyear 2013 is 512.6.Important : you should answer only the numeric valueCorrect answer is '1032386'. Can you explain this answer? theory, EduRev gives you an
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