Fresh walnut contains `80%` water of total weight. While dry walnut contains `50%` water of total weight. A person buys 60kg.fresh walnut in 200 rupees then , what should be selling price to gain `20%` profit ?

Options

A. `5`
B. `10`
C. `15`
D. `20`

Answer

To find the selling price of fresh walnuts to gain a 20% profit, we can follow these steps:

### Step 1: Determine the Cost Price (CP)
The person buys 60 kg of fresh walnuts for 200 rupees. Therefore, the cost price (CP) is:
\[ CP = 200 \text{ rupees} \]

### Step 2: Calculate the Desired Profit
To gain a 20% profit, we need to calculate 20% of the cost price:
\[ \text{Profit} = 20\% \text{ of } CP = \frac{20}{100} \times 200 = 40 \text{ rupees} \]

### Step 3: Calculate the Selling Price (SP)
The selling price (SP) is calculated by adding the profit to the cost price:
\[ SP = CP + \text{Profit} = 200 + 40 = 240 \text{ rupees} \]

### Step 4: Determine the Selling Price per kg
To find the selling price per kg of fresh walnuts, we divide the total selling price by the total weight:
\[ \text{Selling Price per kg} = \frac{SP}{\text{Total Weight}} = \frac{240}{60} = 4 \text{ rupees per kg} \]

### Final Answer
The selling price per kg of fresh walnuts to gain a 20% profit is:
\[ \text{Selling Price} = 4 \text{ rupees per kg} \]

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