Question

Difficulty: EasyProfit and Loss

A merchant buys a radio for 4040 dollars and sells it for 5050 dollars. What is the merchant's profit percentage on this item?

  1. A
    20%20\%
  2. 25%25\%Answer
  3. C
    10%10\%
  4. D
    125%125\%

Answer

The correct answer is 25%25\%.
To find the profit percentage, first determine the total profit by subtracting the cost price (4040 dollars) from the selling price (5050 dollars), which gives a profit of 1010 dollars. Then, divide the profit by the original cost price (1040=0.25\frac{10}{40} = 0.25) and multiply by 100100 to get 25%25\%.

Step-by-Step Solution

1
Calculate the profit amount.
50−40=1050 - 40 = 10
Profit is defined as the difference between the selling price and the cost price.
2
Calculate the profit percentage.
1040×100=25%\frac{10}{40} \times 100 = 25\%
Profit percentage is the profit amount divided by the original cost price, expressed as a percentage.

Key Concept

Profit Percentage
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