A cab driver makes a profit of 20 % on every | vedclass

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Question

(A) Let the cost price $(CP)$ of the trip be the price of petrol,which is $Rs. 30$.The selling price $(SP)$ for carrying $3$ passengers is $3x$,where

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) Let the cost price $(CP)$ of the trip be the price of petrol,which is $Rs. 30$.The selling price $(SP)$ for carrying $3$ passengers is $3x$,where $x$ is the revenue per passenger.Given that the profit is $20 \%$,we have:$	ext{Profit } \% = \frac{SP - CP}{CP} 	imes 100$$20 = \frac{3x - 30}{30} 	imes 100$$0.2 = \frac{3x - 30}{30}$$6 = 3x - 30$$3x = 36 \Rightarrow x = 12$.Now,for the second case:New $CP = Rs. 24$.New $SP = 4 	imes x = 4 	imes 12 = Rs. 48$.New Profit $\% = \frac{SP - CP}{CP} 	imes 100$$= \frac{48 - 24}{24} 	imes 100$$= \frac{24}{24} 	imes 100 = 100 \%$.

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