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In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.
Q. Which of the following statement is correct?
- a)The ratio of household to other consumption is 8/17
- b)The ratio of household to other consumption is 1/17
- c)The ratio of household to other consumption is 17/8
- d)There are errors in the official‟s statement
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In the summer, water consumption is known to decrease overall by 25%. ...
There are errors in the officials statement.
water consumption is known to decrease overall by 25%.
Let overall water consumption is x so after decrese overall consumption is (1-0.25)x .
A water Board official states that in the summer household consumption decreases by 20% while other consumption increases by 70%.
so let household consumption is h , after decrease by 20% it becomes (1-0.2) h
and other consumption becomes after increase (1+0.7) (x-h) .
As overall consumption is x and household consumption is h so other consumption is ( x-h ) .
now according to given statement , the equation becomes :
(1-0.2) h + (1+0.7) (x-h) = (1-0.25)x
=> 0.8 h + 1.7x - 1.7h = 0.75x
=> 1.7x - 0.75x = 1.7h - 0.8h
=> 0.95 x = 0.9 h
so h = 0.95 x / 0.9 .... (i)
now, looking at the options given , it tells " The ratio of household to other consumption " ..
that means h/x-h = The ratio of household to other consumption ....(ii)
now , put h value in terms of x in (ii)
from (i) we get value of h and put that into (ii) , we get {0.95 x / 0.9 } / x - { 0.95 x / 0.9 }
=> 1.055 x / x - 1.055x
=> 1.055 / -(0.055)
=> - 19.1818
so The ratio of household to other consumption we get -(19.1818) .
Now check each option one by one ..
statement 1 : The ratio of household to other consumption is 8/17 = 0.470 , not match .
statement 2 : The ratio of household to other consumption is 1/17 = 0.0588 , not match
statement 3 : The ratio of household to other consumption is 17/8 = 2.125 , not match
so all three options are not match with our value -19.18 ..and also a ratio can not become -ve so that means there is some error in official statement !
Hence correct option is option D , There are errors in the officials statement.
Most Upvoted Answer
In the summer, water consumption is known to decrease overall by 25%. ...
Let H is house hold consumption and P is the other consumption.
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In the summer, water consumption is known to decrease overall by 25%. ...
Statement: In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.
To find: The correct statement about the ratio of household to other consumption.
Solution:
Let's assume the total water consumption in a particular period is 100 units.
According to the given statement:
- Overall water consumption decreases by 25%, which means the total consumption in the summer is 75 units.
- Household consumption decreases by 20%, which means the household consumption in the summer is 80% of the original household consumption. Therefore, the household consumption is 80% of 75 units, which is 60 units.
- Other consumption increases by 70%, which means the other consumption in the summer is 170% of the original other consumption. Therefore, the other consumption is 170% of 75 units, which is 127.5 units.
Calculations:
Total water consumption = 100 units
Overall water consumption in summer = 75 units
Household consumption in summer = 60 units
Other consumption in summer = 127.5 units
Ratio of household to other consumption:
To find the ratio, we divide the household consumption by the other consumption.
Ratio = Household consumption / Other consumption
Ratio = 60 units / 127.5 units
Ratio = 4/8.5
Ratio = 8/17
Hence, the correct statement is option 'd' - There are errors in the official's statement. The ratio of household to other consumption is 8/17, not 17/8 as stated by the official.
To find: The correct statement about the ratio of household to other consumption.
Solution:
Let's assume the total water consumption in a particular period is 100 units.
According to the given statement:
- Overall water consumption decreases by 25%, which means the total consumption in the summer is 75 units.
- Household consumption decreases by 20%, which means the household consumption in the summer is 80% of the original household consumption. Therefore, the household consumption is 80% of 75 units, which is 60 units.
- Other consumption increases by 70%, which means the other consumption in the summer is 170% of the original other consumption. Therefore, the other consumption is 170% of 75 units, which is 127.5 units.
Calculations:
Total water consumption = 100 units
Overall water consumption in summer = 75 units
Household consumption in summer = 60 units
Other consumption in summer = 127.5 units
Ratio of household to other consumption:
To find the ratio, we divide the household consumption by the other consumption.
Ratio = Household consumption / Other consumption
Ratio = 60 units / 127.5 units
Ratio = 4/8.5
Ratio = 8/17
Hence, the correct statement is option 'd' - There are errors in the official's statement. The ratio of household to other consumption is 8/17, not 17/8 as stated by the official.
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In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer?
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In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. 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 In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer?.
In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. 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 In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer?.
Solutions for In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for GATE.
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In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In the summer, water consumption is known to decrease overall by 25%. A water Board official states that in the summer household consumption decreases by 20%, while other consumption increases by 70%.Q. Which of the following statement is correct?a)The ratio of household to other consumption is 8/17b)The ratio of household to other consumption is 1/17c)The ratio of household to other consumption is 17/8d)There are errors in the official‟s statementCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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