Arun marks up the computer he is selling by 20% profit and sellis them at a discount of 15%. Arun's net gain percent is

Options

A. 0.04
B. 0.02
C. 0.035
D. 0.025

Answer

To find Arun's net gain percent when he marks up a computer by 20% and then sells it at a discount of 15%, we can follow these steps:

### Step 1: Determine the Cost Price (CP)
Let the cost price of the computer be \( CP = 100 \) (this is a convenient choice for calculation).

### Step 2: Calculate the Marked Price (MP)
Arun marks up the computer by 20%.
- Marked Price (MP) can be calculated as:
\[ MP = CP + (20\% \text{ of } CP) = 100 + (0.20 \times 100) = 100 + 20 = 120 \]

### Step 3: Calculate the Selling Price (SP)
Arun sells the computer at a discount of 15% on the marked price.
- Selling Price (SP) can be calculated as:
\[ SP = MP - (15\% \text{ of } MP) = 120 - (0.15 \times 120) = 120 - 18 = 102 \]

### Step 4: Calculate the Net Gain
Now, we can calculate the net gain:
- Net Gain = Selling Price - Cost Price
\[ \text{Net Gain} = SP - CP = 102 - 100 = 2 \]

### Step 5: Calculate the Net Gain Percent
To find the net gain percent, we use the formula:
\[ \text{Net Gain Percent} = \left( \frac{\text{Net Gain}}{CP} \right) \times 100 = \left( \frac{2}{100} \right) \times 100 = 2\% \]

### Final Answer
Arun's net gain percent is **2%**.