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If the price of petrol has increased from Rs. 40 per litre to Rs. 60 per litre, by how much percent a person has to decrease his consumption so that his expenditure remains same.
- a)66.67%
- b)40%
- c)33.33%
- d)45%
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If the price of petrol has increased from Rs. 40 per litre to Rs. 60 p...
If the price of petrol has increased from Rs. 40 per litre to Rs. 60 per litre
Let the consumption be 100 litres.
When price is Rs. 40 per litres, then, the expenditure = 100 × 40
⇒ Rs. 4,000.
At Rs. 60 per litre, the 60 × consumption = 4000
Consumption = 4,000/60 = 66.67 litres.
∴ Required decreased % = 100 - 66.67 = 33.33%
Most Upvoted Answer
If the price of petrol has increased from Rs. 40 per litre to Rs. 60 p...
If the price of petrol has increased from Rs. 40 per litre to Rs. 60 per litre
Let the consumption be 100 litres.
When price is Rs. 40 per litres, then, the expenditure = 100 × 40
⇒ Rs. 4,000.
At Rs. 60 per litre, the 60 × consumption = 4000
Consumption = 4,000/60 = 66.67 litres.
∴ Required decreased % = 100 - 66.67 = 33.33%
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Community Answer
If the price of petrol has increased from Rs. 40 per litre to Rs. 60 p...
To calculate the percentage decrease in consumption required to maintain the same expenditure, we need to understand the relationship between price, consumption, and expenditure.
Let's assume the initial consumption of petrol is "x" liters and the initial price is Rs. 40 per liter. So, the initial expenditure would be 40x Rs.
When the price of petrol increases to Rs. 60 per liter, the expenditure would be 60x Rs.
To maintain the same expenditure, we need to find the new consumption at the increased price.
So, we can set up the equation: 40x = 60y (where "y" represents the new consumption)
Simplifying the equation, we get: x = 1.5y
This means that the initial consumption is 1.5 times the new consumption.
Now, let's calculate the percentage decrease in consumption required:
Percentage decrease = [(Initial consumption - New consumption) / Initial consumption] * 100
Substituting the values, we get:
Percentage decrease = [(1.5y - y) / 1.5y] * 100
= [0.5y / 1.5y] * 100
= (1/3) * 100
= 33.33%
Therefore, a person needs to decrease their consumption by 33.33% in order to maintain the same expenditure when the price of petrol increases from Rs. 40 per liter to Rs. 60 per liter.
Hence, the correct answer is option C) 33.33%.
Let's assume the initial consumption of petrol is "x" liters and the initial price is Rs. 40 per liter. So, the initial expenditure would be 40x Rs.
When the price of petrol increases to Rs. 60 per liter, the expenditure would be 60x Rs.
To maintain the same expenditure, we need to find the new consumption at the increased price.
So, we can set up the equation: 40x = 60y (where "y" represents the new consumption)
Simplifying the equation, we get: x = 1.5y
This means that the initial consumption is 1.5 times the new consumption.
Now, let's calculate the percentage decrease in consumption required:
Percentage decrease = [(Initial consumption - New consumption) / Initial consumption] * 100
Substituting the values, we get:
Percentage decrease = [(1.5y - y) / 1.5y] * 100
= [0.5y / 1.5y] * 100
= (1/3) * 100
= 33.33%
Therefore, a person needs to decrease their consumption by 33.33% in order to maintain the same expenditure when the price of petrol increases from Rs. 40 per liter to Rs. 60 per liter.
Hence, the correct answer is option C) 33.33%.
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