Question

The price of petrol goes up by 10%. By how much per cent must a motorist reduce the consumption of petrol so that the expenditure on it remains unchanged


please help me​

Answer 1

Step-by-step explanation:

ANSWER = 10%

Answer 2

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.