If a trader sold two cars each at Rs. 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole transaction?

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Solution

S.P of each car = Rs 325475
He gains 12% on first car and loses 12% on second car.
C.P = $\frac{S . P}{(100 + g a i n} \times 100$ for first car
$= \frac{325475}{(100 + 12)} \times 100 = \frac{32547500}{112} = R s 3, 08, 459$
$C . P = \frac{S . P}{(100 - l o s s} \times 100 = \frac{32547500}{(100 - 12)}$ for second car
$= \frac{32547500}{88} = R s 3, 69, 858$
Total C.P = Rs 3,08,459+Rs 3,69+858= Rs 678317
Total S.P = Rs 325475 $\times$ 2= Rs 6,50,950.
Total loss = Rs 6,78,317 $\div$ Rs 6,50,950 = Rs 27,367
Loss % = $\frac{27367}{678317} \times 100 = 4.034$ %

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