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If the price of kerosene be raised by 11%, find by how much per cent a householder must reduce his consumption of kerosene so as not to increase his expenditure?
- a)11%
- b)9.9%
- c)11.09%
- d)8.25%
Correct answer is option 'B'. Can you explain this answer?
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If the price of a commodity increases by R%, then the reduction in consumption so as not to increase the expenditure is
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To find the percentage by which a householder must reduce his consumption of kerosene in order to not increase his expenditure, we can use the concept of inverse proportionality.
Let's assume the initial consumption of kerosene by the householder is 100 units, and the initial price per unit is $x.
1. Calculate the initial expenditure:
Initial Expenditure = Initial Consumption * Initial Price per unit = 100 * x = 100x
2. Calculate the new price per unit after a price increase of 11%:
New Price per unit = Initial Price per unit + (11% of Initial Price per unit)
= x + (0.11x)
= 1.11x
3. Calculate the reduced consumption:
Let's assume the householder reduces his consumption by y%.
New Consumption = Initial Consumption - (y% of Initial Consumption)
= 100 - (0.01y * 100)
= 100 - y
4. Calculate the new expenditure:
New Expenditure = New Consumption * New Price per unit
= (100 - y) * 1.11x
According to the given condition, the new expenditure should be equal to the initial expenditure.
5. Set up the equation:
100x = (100 - y) * 1.11x
6. Simplify the equation:
100 = 100 - y
y = 0
Since we want to find the percentage by which the householder must reduce his consumption, we can see that the value of y is 0. This means that the householder does not need to reduce his consumption at all to maintain the same expenditure.
Therefore, the correct answer is option 'B' - 0% reduction in consumption.
Let's assume the initial consumption of kerosene by the householder is 100 units, and the initial price per unit is $x.
1. Calculate the initial expenditure:
Initial Expenditure = Initial Consumption * Initial Price per unit = 100 * x = 100x
2. Calculate the new price per unit after a price increase of 11%:
New Price per unit = Initial Price per unit + (11% of Initial Price per unit)
= x + (0.11x)
= 1.11x
3. Calculate the reduced consumption:
Let's assume the householder reduces his consumption by y%.
New Consumption = Initial Consumption - (y% of Initial Consumption)
= 100 - (0.01y * 100)
= 100 - y
4. Calculate the new expenditure:
New Expenditure = New Consumption * New Price per unit
= (100 - y) * 1.11x
According to the given condition, the new expenditure should be equal to the initial expenditure.
5. Set up the equation:
100x = (100 - y) * 1.11x
6. Simplify the equation:
100 = 100 - y
y = 0
Since we want to find the percentage by which the householder must reduce his consumption, we can see that the value of y is 0. This means that the householder does not need to reduce his consumption at all to maintain the same expenditure.
Therefore, the correct answer is option 'B' - 0% reduction in consumption.
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If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer?
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If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer?.
If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the price of kerosene be raised by 11%, find by how much per cent a householdermust reduce his consumption of kerosene so as not to increase his expenditure?a)11%b)9.9%c)11.09%d)8.25%Correct answer is option 'B'. Can you explain this answer?.
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