price of petrol goes up 10%by what percentage does a motorcyclist reduce the consumption of petrol so that the expenditure on it remain unchanged
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Answer:
9.09%
Step-by-step explanation:
Let the initial price of petrol be Rs. x
Then, price after increase of 10 % = 100 + (100*10)/100
= 100 + 10
Price after increase of 10 % = Rs. 110
Now,
Reduction in consumption of petrol in percent = [{(110 - 100)}*100]/110
⇒ (10*100)/110
⇒ 100/11
⇒ 9.09 %
So, the motorists have to reduce the consumption of petrol by 9.09 %, so that the expenditure on it remains unchanged.
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