Question

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 1

The total loss percentage is 6.25%.

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,
`x(1 + (25)/(100)) = 2500`

⇒ 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,
`y(1 - (25)/(100) ) = 0.75y = 2500`

⇒ 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
`(5333.33 - 5000)/(5333.33) * 100 = 6.25` % (Answer)