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- Quantitative Aptitude
A cab driver makes a profit of $20 \%$ on every trip when he carries $3$ passengers and the price of petrol is $Rs.\,30$ a litre. Find the percentage profit for the same journey if he goes with four passengers per trip and the price of petrol reduces to $Rs.\, 24$ a litre? (in $\%$)
(Assume that revenue per passenger is the same in both the cases.)
$100$
$76$
$54$
$43$
Solution
Let $CP$ of cab driver be price of petrol $= Rs. 30$ per liter
His, $SP$ would be to carry $3$ passengers
Let cost of $1$ passenger be Rs. $x$
Initially he made profit of $20 \%$
$\Rightarrow p \%=\frac{20}{100}=\frac{ SP – CP }{ CP }=\frac{20}{100}=\frac{3 \times-30}{30}$
$x=$ $Rs. 12$
Now, $CP$ of petrol $= Rs. 24$ per litre
$SP =4(\operatorname{cost}$ of $1$ passenger $)=$ $Rs. 48$
$=$ Profit $\%=\frac{48-24}{24} \times 100=100 \%$
