If the price of petrol increases by 19% and Sunitha intends to spend only an additional 19% on petrol, by what percent should she reduce the quantity of petrol purchased? (Round to the nearest integer)

If the Price of Petrol Increases by 19% and the Consumption Decreases by 19%, Find the Effect on the Expenses

The price of petrol increases by 19%, and the consumption decreases by 19%. We need to find the effect on the total expenses.

Solution:

Let the initial price of petrol be P and the initial consumption be C.

The initial expenses = P × C.

After the increase of 19% in price, the new price is P × 1.19.

After the decrease of 19% in consumption, the new consumption is C × 0.81.

The new expenses = P × 1.19 × C × 0.81 = P × C × 0.9639.

Hence, the new expenses are 96.39% of the initial expenses.

Final Answer:

The total expenses decrease by 3.61%.