If the price of the petrol increases by 19%, Sunita intends to spend only an additional 12% of petrol, by what percent should she reduce the quantity of petrol purchased (nearest to an integer) ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 ie 6.
Price × Consumption = Expenditure
P × C = E
C = E/P eq1
Now, after increase in price
(P + (19/100) × P) × C1 = (E + (12/100) × E)
(119 × P) / 100 × C1 = (112 × E) / 100
C1 = (112 × E × 100) / (100 × 119 × P)
C1 = (112/119) × (E/P)
C1 = (112/119) × C
C1 = 0.94 × C
% decrease = 100 - 94 = 6%