The price (per litre) of petrol increases by 50%. By what percent should its consumption be reduced such that the expenditure on it increases by 41% only?

Correct option is A

Given:

Price per litre increases by 50%

Expenditure increases by 41%

Formula Used:

Expenditure = Price × Consumption

Solution:

Let the original price = 100, original consumption = 100

New price = 150

New expenditure = 141

New consumption = $$\frac{141}{150}$$​ = 0.94 or 94%

Reduction in consumption = 100% − 94% = 6% 

Alternate Solution: ​

Reduction in consumption;

= $$\frac{150-141}{150}\times 100 = \frac{9}{150} \times 100 = 6\%$$​​