In the new budget,the price of petrol has risen by 10% . By how much percent must a motorist reduce the consumption of petrol so that his expenditure on it does not increase?
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In the new budget,the price of petrol has risen by 10% . By how much percent must a motorist reduce the consumption of petrol so that his expenditure on it does not increase?
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Step-by-step explanation:
let price of petrol be rupee x per litre and consumption of petrol be y litre
total expenses on petrol = xy
now revised price is (x+x*10/100)
= 11x/10
let the revised consumption be z
as per question
11x/10*z = xy
z = 10y/11
reduction in consumption = y - z
= y - 10y/11
= (11y - 10y)/11
= y/11
percent reduction
= (y/11)*100/y
= 100/11
= 9 and 1/11 %
Answer: