In the new budget, the price of petrol is increased by 20%.How much percent must a person reduce his consumption so that his expenditure on it does not increase.16.67%15%17%None of these
Question
In the new budget, the price of petrol is increased by 20%.How much percent must a person reduce his consumption so that his expenditure on it does not increase.16.67%15%17%None of these
Solution
Let's solve this step by step:
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Let's assume the original price of petrol is 100, you can buy 100 litres of petrol.
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Now, the price of petrol is increased by 20%. So, the new price is 100, you can now buy approximately 83.33 litres of petrol.
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To keep the expenditure the same, you need to buy only 100 litres of petrol, not 83.33 litres.
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The reduction in consumption is therefore (100 - 83.33) = 16.67 litres.
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To find the percentage reduction, divide the reduction by the original amount and multiply by 100. So, (16.67 / 100) * 100 = 16.67%.
So, a person must reduce his consumption by 16.67% so that his expenditure on petrol does not increase.
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