Ajay sells two cycles at 2500$ each. If he makes a profit of 25% on one and incurs a loss of 25% on the other, find his net profit or loss percent.

Answer:The total loss percentage is 6.25%.Step-by-step explanation:Let the cost price of the first cycle is $x. So, for the first cycle, 25% profit is there for selling the cycle at $2500. Then, [tex]x(1 + \frac{25}{100}) = 2500[/tex] ⇒ 1.25x = 2500 ⇒ x = $2000 Again, let us assume that the cost price of the second cycle is $y. So, by selling the cycle at $2500 there is a loss of 25%. Therefore, [tex]y(1 - \frac{25}{100} ) = 0.75y = 2500[/tex] ⇒ y = $3333.33 Therefore, the total cost price of two cycles = $(2000 + 3333.33) = $5333.33 and total selling price is $(2500 + 2500) = $5000. Therefore, the total loss percentage is [tex]\frac{5333.33 - 5000}{5333.33} \times 100 = 6.25[/tex] % (Answer)