Question

The profit made on an item sold for 2200 is equal to the loss incurred when it is sold for 1800. What will be the profit or loss percentage if the item is sold for 2050?

• A. Profit of 2.25%
• B. Loss of 3.5%
• C. Profit of 2.5%
• D. Loss of 4.25%

Answer 1

Answer:

C. Profit of 2.5%

Let the cost price be (x).

Given:

Profit when sold for ₹2200 = Loss when sold for ₹1800

$2200 - x = x - 1800$
$2200 + 1800 = 2x$
$4000 = 2x$
$x = 2000$

So, Cost Price = ₹2000.

If sold for ₹2050:

$\text{Profit} = 2050 - 2000 = 50$

Profit percentage:

$\frac{50}{2000}\times100$

$= 2.5\%$

Therefore, the item is sold at:

$\boxed{2.5\% \text{ profit}}$