Amit sells two scooters at Rs.35000 each . One he gains 25 percentage and on the other he loses 25 percentage . How much does he gain or lose in the whole transaction . (Show steps and do ) .

Dear Student,

Selling price of scooter = Rs. 35000

Profit = 25%

Cost price of scooter = $\frac{Selling price}{{\displaystyle \frac{100+Profit\%}{100}}}$
CP = $\frac{35000}{{\displaystyle \frac{100+25}{100}}}$
CP = $\frac{35000\times 100}{125}$ 
CP = Rs. 28000

Loss = 25%

CP = $\frac{Selling price}{{\displaystyle \frac{100-Loss\%}{100}}}$
CP = $\frac{35000}{{\displaystyle \frac{100-25}{100}}}$
CP = $\frac{35000\times 100}{75}$
CP = Rs. 46666.67

Total CP = 28000 + 46666.67 = 74666.67

Total SP = 35000 + 35000 = 70000

Here, CP > SP hence there is a loss

Loss% = $\frac{74666.67-70000}{74666.67}\times 100$
          = 6.25 %

Regards