A shopkeeper marks his goods 20% above his cost price and gives 15% discount on the marked price. His gain percent

Options

A. 0.05
B. 0.04
C. 0.02
D. 0.01

Answer

To solve the problem step by step, we will follow the calculations based on the information provided:

### Step 1: Determine the Cost Price (CP)
Let's assume the Cost Price (CP) of the goods is \(100\).

**Hint:** Always start by assuming a value for CP to simplify calculations.

### Step 2: Calculate the Marked Price (MP)
The shopkeeper marks his goods 20% above the Cost Price. Therefore, we calculate the Marked Price (MP) as follows:
\[ MP = CP + (20\% \text{ of } CP) = 100 + (0.20 \times 100) = 100 + 20 = 120 \]

**Hint:** To find the marked price, add the percentage increase to the original cost price.

### Step 3: Calculate the Discount
The shopkeeper gives a discount of 15% on the Marked Price. We calculate the discount amount:
\[ \text{Discount} = 15\% \text{ of } MP = 0.15 \times 120 = 18 \]

**Hint:** To find the discount, multiply the marked price by the discount percentage.

### Step 4: Calculate the Selling Price (SP)
Now, we can find the Selling Price (SP) by subtracting the discount from the Marked Price:
\[ SP = MP - \text{Discount} = 120 - 18 = 102 \]

**Hint:** The selling price is the marked price minus the discount.

### Step 5: Calculate the Gain
To find the gain, subtract the Cost Price from the Selling Price:
\[ \text{Gain} = SP - CP = 102 - 100 = 2 \]

**Hint:** Gain is the difference between selling price and cost price.

### Step 6: Calculate Gain Percent
Finally, we calculate the gain percent using the formula:
\[ \text{Gain Percent} = \left(\frac{\text{Gain}}{CP}\right) \times 100 = \left(\frac{2}{100}\right) \times 100 = 2\% \]

**Hint:** Gain percent is calculated by dividing the gain by the cost price and multiplying by 100.

### Conclusion
The shopkeeper's gain percent is **2%**.