The marked price of 55 items was equal to the cost price of 99 items. The selling price of 56 items was equal to the marked price of 35 items. Calculate the profit or loss percentage from the sale of each item.

Question

Accepted Answer

Let the cost price (CP) of one item be 1 unit.

Given:
- Marked price (MP) of 55 items = Cost price of 99 items
  => 55 * MP = 99 * CP
  => MP = (99/55) * CP = (99/55) * 1 = 1.8 units

- Selling price (SP) of 56 items = Marked price of 35 items
  => 56 * SP = 35 * MP
  => SP = (35/56) * MP = (35/56) * 1.8 = (35 * 1.8) / 56
  => SP = 63 / 56 = 1.125 units

Now, profit per item = SP - CP = 1.125 - 1 = 0.125 units

Profit percentage = (Profit / CP) * 100 = (0.125 / 1) * 100 = 12.5%

Therefore, there is a 12.5% profit on each item.

Answer

Answer

Answer