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The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?
- a)25 %
- b)30 %
- c)50 %
- d)20 %
- e)None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The price of petrol is increased by 25 %. By how much percent a car ow...
Reduction % in consumption = {r/(100+ r) Ã -100}%
= (25/125 Ã - 100)%
= 20%
= (25/125 Ã - 100)%
= 20%
Most Upvoted Answer
The price of petrol is increased by 25 %. By how much percent a car ow...
Understanding the Problem
In this scenario, the price of petrol has increased by 25%. To maintain the same expenditure on petrol, a car owner must reduce their consumption. Let's break down the calculations.
Initial Conditions
- Let the initial price of petrol be P.
- Let the initial consumption of petrol be C.
- Thus, the initial expenditure (E) can be expressed as:
- E = P * C
New Price After Increase
- After a 25% increase, the new price of petrol becomes:
- New Price = P + (25/100) * P = 1.25P
Setting Up the Expenditure Equation
- The goal is to keep the expenditure the same after the price increase. Therefore:
- E = New Price * New Consumption
- E = 1.25P * New Consumption (let's call it C')
Equating the Expenditures
- To keep expenditure the same:
- P * C = 1.25P * C'
- Dividing both sides by P (assuming P is not zero):
- C = 1.25 * C'
Finding New Consumption
- Rearranging gives:
- C' = C / 1.25
- C' = 0.8C
Calculating the Reduction in Consumption
- The reduction in consumption can be calculated as:
- Reduction = C - C' = C - 0.8C = 0.2C
- To find the percentage reduction:
- Percentage Reduction = (Reduction / C) * 100 = (0.2C / C) * 100 = 20%
Conclusion
Thus, a car owner must reduce their petrol consumption by 20% to ensure that their expenditure remains unchanged despite the 25% price increase. This clearly indicates that the correct answer is option 'D'.
In this scenario, the price of petrol has increased by 25%. To maintain the same expenditure on petrol, a car owner must reduce their consumption. Let's break down the calculations.
Initial Conditions
- Let the initial price of petrol be P.
- Let the initial consumption of petrol be C.
- Thus, the initial expenditure (E) can be expressed as:
- E = P * C
New Price After Increase
- After a 25% increase, the new price of petrol becomes:
- New Price = P + (25/100) * P = 1.25P
Setting Up the Expenditure Equation
- The goal is to keep the expenditure the same after the price increase. Therefore:
- E = New Price * New Consumption
- E = 1.25P * New Consumption (let's call it C')
Equating the Expenditures
- To keep expenditure the same:
- P * C = 1.25P * C'
- Dividing both sides by P (assuming P is not zero):
- C = 1.25 * C'
Finding New Consumption
- Rearranging gives:
- C' = C / 1.25
- C' = 0.8C
Calculating the Reduction in Consumption
- The reduction in consumption can be calculated as:
- Reduction = C - C' = C - 0.8C = 0.2C
- To find the percentage reduction:
- Percentage Reduction = (Reduction / C) * 100 = (0.2C / C) * 100 = 20%
Conclusion
Thus, a car owner must reduce their petrol consumption by 20% to ensure that their expenditure remains unchanged despite the 25% price increase. This clearly indicates that the correct answer is option 'D'.
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Community Answer
The price of petrol is increased by 25 %. By how much percent a car ow...
Reduction % in consumption = {r/(100+ r) Ã -100}%
= (25/125 Ã - 100)%
= 20%
= (25/125 Ã - 100)%
= 20%
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The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?a)25 %b)30 %c)50 %d)20 %e)None of theseCorrect answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?a)25 %b)30 %c)50 %d)20 %e)None of theseCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The price of petrol is increased by 25 %. By how much percent a car owner should reduce his consumption of petrol. So that expenditure on petrol would not be increased?a)25 %b)30 %c)50 %d)20 %e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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