Question 1 - In the new budget, the price of petrol rose by 10%. By how much per cent must one reduce the consumption so that the expenditure does not increase?
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Solution
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 % (approximately 9%)
So, the motorists have to reduce the consumption of petrol by 9.09 %(approximately 9%), so that the expenditure on it remains unchanged.