Given details are,
Increase in petrol price by = 10%
Reduction in consumption while having same expenditure =
(increase%)/(100+increase%) × 100
= 10/(100+10) × 100
= 1000/110
= 100/11
= 9 1/11%
∴ At the cost of same expenditure one can reduce 9 1/11% of consumption of petrol.