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

Asked by sangita | 10th Jun, 2017, 02:12: PM

Expert Answer:

begin mathsize 16px style Let space price space of space petrol space be space 100 straight x
Increased space in space price space equals 10 percent sign space
rightwards double arrow New space price equals 110 straight x space
therefore Reduction space in space expenditure space equals fraction numerator left parenthesis 110 straight x minus 100 straight x right parenthesis over denominator 110 straight x end fraction cross times 100 percent sign equals 10 over 110 cross times 100 percent sign equals 9.09 percent sign end style

Answered by Rashmi Khot | 10th Jun, 2017, 07:31: PM