Question

The petrol prices shot up by\[7%\] as a result of the hike in the price of crudes. The price of petrol before the hike was \[Rs.\text{ }28\]per litre. Vawal travels \[2400\text{ }kilometres\] every month and his car gives a mileage of \[18\text{ }kilometres\] to a litre. Find the increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee)?
A) $Rs270$\[\]
B) $Rs262$
C) $Rs276$
D) $Rs272$

Answer 1

Hint:Here we simply find the required data provided in the problem to calculate required quantity. As here it is given that total travelling in a single month \[2400\text{ }kilometres\] and average of his car = \[18~Km/litre\] so by dividing total consumption by average of car we can calculate the required amount of oil to consume in a month. And so on,

Complete step-by-step solution :
Given: Hike in price =\[7%\]
Original price of petrol=\[Rs.\text{ }28\]
 Average of car =\[18\text{ }kilometres\]
Total distance travelled in a month=\[2400\text{ }kilometres\].
As, Vawal travels in a month = \[2400\text{ }kilometres\]and average of his car = \[18~Km/litre\].
$\begin{align}
  & 18\text{ }km=1\text{ }litre \\
 & \therefore 2400\text{ km =?} \\
 & \Rightarrow \dfrac{2400\times 1}{18}\text{litres} \\
\end{align}$
Therefore, the Petrol consumption in his car = $\dfrac{2400}{18}$litre.
Now, the cost of the petrol per litre is$=28$
$\therefore $ Total cost of petrol at $Rs28\text{ }per\text{ }litre=\dfrac{2400}{18}\times 28$
Also, given that there is the hike of petrol price by $7%$
First convert percentage in the fraction form - $7%=\dfrac{7}{100}$
Increase after hike is -
$\begin{align}
  & =\dfrac{7}{100}\times \dfrac{2400}{18}\times 28 \\
 & =Rs262\text{ }approax. \\
\end{align}$
The increase in the expenditure that Vawal has to incur due to the increase in the price of petrol (to the nearest rupee is $=Rs.\text{ 262}$

Hence, option B is the correct answer.

Note: We should always check that; the units of quantities are the same or different. If different then check if it needs to convert in the same unit. In such types of problems one can check whether a given quantity is lesser than the quantity needed to find or vice-versa. If a given quantity is larger than multiplier if the asked quantity is greater than divide.