Question

Mr. Abhimanyu Banerjee is worried about the balance of his monthly budget. The price of petrol has increased by 40%. By what percent should he reduce the consumption of petrol so that he is able to balance his budget?
33.33
28.56
25
14.28

Answer 1

Answer:

28.56

Step-by-step explanation:

Let x be the price of patrol per liter.

And, suppose the initial consumption = 1 liter.

After increasing the price of patrol by 40 %,

New price of patrol per liter = x + 40 % of x

$=x+\frac{40x}{100}$

$=x+\frac{2x}{5}$

$=\frac{5x+2x}{5}$

$=\frac{7x}{5}$  

⇒ 7x/5 = 1 liter of patrol

⇒ x = 5/7 liter of patrol

So the final consumption = 5/7 liters.

Hence, the reduction in consumption = Initial consumption - Final consumption

$=1-\frac{5}{7}$

$=\frac{7-5}{7}$

$=\frac{2}{7}$

So,

$\text{The percentage decrease in consumption} = \frac{\text{The reduction}}{\text{Initial consumption}}\times 100$

$=\frac{2/7}{1}\times 100$

$=\frac{200}{7}$

$=28.5714285714\approx 28.57\%$

Since, 28.56 is near to 28.57.

Hence, Second option is correct.