Question

If a trader sells two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then find his profit or loss percent on the whole transaction?

Answer 1

S.P of both cars = Rs 404415

For the first car gains 15%

Thus, C.P = $\frac{SP}{(100+gain}\times 100=\frac{404415}{100+15}\times 100$

$=\frac{404415}{115}\times 100=Rs3,51,665$

For the second car, he loses 15%

Thus, C.P = $\frac{SP}{(100-los}\times 100=\frac{404415}{(100-15)}\times 100$

$=\frac{404415}{85}\times 100=Rs4,75,782$

Total C.P = 351665+475782=Rs 8,27,447

Total S.P = Rs 4,04,415 $\times$ 2 = Rs 8,08,830

Total loss = 8,27,447 - 8,08,830 = Rs . 18,617

loss % = $\frac{Rs18,617}{8,27,447}\times 100$ = 2.25%