Question

bala sells his two bikes at the rate of two lack each. on one bike he gain 7 percent while in other he incurs 7 percent loss. find overall profit or loss percent​

Answer 1

Given :

Cost of each bike = 2,00,000 Rs

Percentage gain on one bike = 7%

Percentage loss on other bike = 7%

To Find :

Overall profit and loss percent = ?

Solution :

• He gained 7% profit on selling first bike

        $S.P =( 1+ \frac{ProfitPercentage}{100}) \times C.P$

        $2,00,000 =( 1+ \frac{7}{100}) \times C.P$

        $2,00,000 =(\frac{107}{100}) \times C.P$

        $C.P = 2,00,000\times \frac{100}{107}$

        $C.P = 1,86,916$

• He lost 7% on selling his second bike

          $S.P =( 1- \frac{ProfitPercentage}{100}) \times C.P$

          $2,00,000 =( 1- \frac{7}{100}) \times C.P$

          $2,00,000 =(\frac{93}{100}) \times C.P$

         $C.P = 2,00,000\times \frac{100}{93}$

          $C.P = 2,15,054$

• Percentage of profit or loss = $\frac{S.P - C.P}{C.P} \times 100$

            $=\frac{ 4,00,000 - 4,01,970}{4,01,970} \times 100$

            $=\frac{-1970}{4,01,970} \times 100$

            $=-0.4\%$

There is a percentage loss of 0.4%