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The price of sugar is increased by 25%. Find by how much percent the consumption of sugar be decreased so as not to increase the expenditure?
- a)25%
- b)40%
- c)20%
- d)30%
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The price of sugar is increased by 25%. Find by how much percent the...
To solve this problem, let's assume the initial price of sugar as 'P' and the initial consumption of sugar as 'C'. After the price increase of 25%, the new price of sugar becomes 1.25P. Now, we need to find the decrease in consumption so that the expenditure remains the same.
Let's calculate the initial expenditure on sugar:
Initial expenditure = initial price * initial consumption = P * C
Now, let's calculate the new expenditure on sugar:
New expenditure = new price * new consumption = 1.25P * new consumption
Since we want the expenditure to remain the same, we can equate the initial and new expenditures:
P * C = 1.25P * new consumption
Simplifying the equation, we get:
C = 1.25 * new consumption
This equation tells us that the initial consumption is equal to 1.25 times the new consumption. To find the decrease in consumption, we need to find the difference between the initial consumption and the new consumption as a percentage of the initial consumption.
Let's calculate the decrease in consumption:
Decrease in consumption = (Initial consumption - New consumption) / Initial consumption * 100
= (C - new consumption) / C * 100
= (1.25C - new consumption) / 1.25C * 100
= (1.25C - C) / 1.25C * 100
= 0.25C / 1.25C * 100
= 0.2 * 100
= 20%
Therefore, the consumption of sugar needs to be decreased by 20% so that the expenditure remains the same.
Hence, the correct answer is option C) 20%.
Let's calculate the initial expenditure on sugar:
Initial expenditure = initial price * initial consumption = P * C
Now, let's calculate the new expenditure on sugar:
New expenditure = new price * new consumption = 1.25P * new consumption
Since we want the expenditure to remain the same, we can equate the initial and new expenditures:
P * C = 1.25P * new consumption
Simplifying the equation, we get:
C = 1.25 * new consumption
This equation tells us that the initial consumption is equal to 1.25 times the new consumption. To find the decrease in consumption, we need to find the difference between the initial consumption and the new consumption as a percentage of the initial consumption.
Let's calculate the decrease in consumption:
Decrease in consumption = (Initial consumption - New consumption) / Initial consumption * 100
= (C - new consumption) / C * 100
= (1.25C - new consumption) / 1.25C * 100
= (1.25C - C) / 1.25C * 100
= 0.25C / 1.25C * 100
= 0.2 * 100
= 20%
Therefore, the consumption of sugar needs to be decreased by 20% so that the expenditure remains the same.
Hence, the correct answer is option C) 20%.
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Community Answer
The price of sugar is increased by 25%. Find by how much percent the...
Using the formula to calculate % decrease as 
= percentage increase in price we get, Required % decrease in consumption
= percentage increase in price we get, Required % decrease in consumptionHence, the correct option is (c).
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