Question

the price of petrol goes up by 10% by how much percent must a motorist reduce the cosumption of petrol so that the expenditure on it remains unchanged​

Answer 1

Answer:

Solution :-

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.

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

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