A shopkeeper purchased 70 kg of potatoes for Rs. 420 and sold the whole at the rate of Rs. 6.50 per kg. What will be his gain percent ?

Options

A. `1 (1)/(6) %`
B. `6 (1)/(4) %`
C. `8 (1)/(3) %`
D. `20%`

Answer

To find the gain percent for the shopkeeper, we can follow these steps:

### Step 1: Calculate the Cost Price (CP)
The cost price of the potatoes is given as Rs. 420 for 70 kg.

**Cost Price (CP) = Rs. 420**

### Step 2: Calculate the Selling Price (SP)
The selling price per kg is given as Rs. 6.50. To find the total selling price for 70 kg, we multiply the selling price per kg by the total weight.

**Selling Price (SP) = Selling Price per kg × Total kg**
\[ SP = 6.50 \times 70 \]
\[ SP = 455 \]

### Step 3: Calculate the Gain
Gain is calculated by subtracting the cost price from the selling price.

**Gain = Selling Price (SP) - Cost Price (CP)**
\[ Gain = 455 - 420 \]
\[ Gain = 35 \]

### Step 4: Calculate the Gain Percent
Gain percent is calculated using the formula:

**Gain Percent = (Gain / Cost Price) × 100**
\[ Gain \, Percent = \left(\frac{35}{420}\right) \times 100 \]
\[ Gain \, Percent = \left(\frac{1}{12}\right) \times 100 \]
\[ Gain \, Percent \approx 8.33\% \]

### Final Answer
The gain percent for the shopkeeper is approximately **8.33%**.

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