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If the price of sugar is raised by 25%, find by how much percent a householder must reduce his consumption of sugar so as not to increase his expenditure? (SSC CGL 1st Sit. 2011)
- a)10
- b)20
- c)18
- d)25
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
If the price of sugar is raised by 25%, find by how much percent a hou...
Given:
- Increase in price of sugar = 25%
- Householder needs to reduce consumption to avoid increase in expenditure
Calculation:
Let the original price of sugar be 100.
After a 25% increase, the new price will be 125.
Let the original consumption be x units.
The original expenditure = 100 * x = 100x
New expenditure = 125 * (x - y), where y is the reduced consumption.
To keep the expenditure constant:
100x = 125(x - y)
100x = 125x - 125y
25y = 25x
y = x
Percentage reduction:
Percentage reduction in consumption = (y/x) * 100
= (x/x) * 100
= 100%
Therefore, the householder must reduce his consumption of sugar by 100% to avoid increasing his expenditure.
- Increase in price of sugar = 25%
- Householder needs to reduce consumption to avoid increase in expenditure
Calculation:
Let the original price of sugar be 100.
After a 25% increase, the new price will be 125.
Let the original consumption be x units.
The original expenditure = 100 * x = 100x
New expenditure = 125 * (x - y), where y is the reduced consumption.
To keep the expenditure constant:
100x = 125(x - y)
100x = 125x - 125y
25y = 25x
y = x
Percentage reduction:
Percentage reduction in consumption = (y/x) * 100
= (x/x) * 100
= 100%
Therefore, the householder must reduce his consumption of sugar by 100% to avoid increasing his expenditure.
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Community Answer
If the price of sugar is raised by 25%, find by how much percent a hou...
Percentage decrease = (25/125) x 100 = 20
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